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Finding the Fourth Proportional to 589,152.40, 813,122.64 and 347,461.54

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Solution

The fourth proportional to 589,152.40, 813,122.64 and 347,461.54 is: 479,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,152.40 : 813,122.64 = 347,461.54 : x
  2. Step 2: Convert to fraction form
    589,152.40/813,122.64 = 347,461.54/x
  3. Step 3: Cross multiply
    589,152.40x = 813,122.64 × 347,461.54
  4. Step 4: Simplify right side
    589,152.40x = 282,528,844,703.27
  5. Step 5: Solve for x
    x = 282,528,844,703.27/589,152.40
  6. Step 6: Final answer
    x = 479,551.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.