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Finding the Fourth Proportional to 460,904.40, 691,356.60 and 429,411.60

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Solution

The fourth proportional to 460,904.40, 691,356.60 and 429,411.60 is: 644,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,904.40 : 691,356.60 = 429,411.60 : x
  2. Step 2: Convert to fraction form
    460,904.40/691,356.60 = 429,411.60/x
  3. Step 3: Cross multiply
    460,904.40x = 691,356.60 × 429,411.60
  4. Step 4: Simplify right side
    460,904.40x = 296,876,543,776.56
  5. Step 5: Solve for x
    x = 296,876,543,776.56/460,904.40
  6. Step 6: Final answer
    x = 644,117.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.