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Finding the Fourth Proportional to 520,031.30, 780,046.95 and 460,933.70

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Solution

The fourth proportional to 520,031.30, 780,046.95 and 460,933.70 is: 691,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,031.30 : 780,046.95 = 460,933.70 : x
  2. Step 2: Convert to fraction form
    520,031.30/780,046.95 = 460,933.70/x
  3. Step 3: Cross multiply
    520,031.30x = 780,046.95 × 460,933.70
  4. Step 4: Simplify right side
    520,031.30x = 359,549,926,837.22
  5. Step 5: Solve for x
    x = 359,549,926,837.22/520,031.30
  6. Step 6: Final answer
    x = 691,400.55

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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.