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Finding the Fourth Proportional to 569,033.68, 785,256.24 and 314,402.08

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Solution

The fourth proportional to 569,033.68, 785,256.24 and 314,402.08 is: 433,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,033.68 : 785,256.24 = 314,402.08 : x
  2. Step 2: Convert to fraction form
    569,033.68/785,256.24 = 314,402.08/x
  3. Step 3: Cross multiply
    569,033.68x = 785,256.24 × 314,402.08
  4. Step 4: Simplify right side
    569,033.68x = 246,886,195,188.98
  5. Step 5: Solve for x
    x = 246,886,195,188.98/569,033.68
  6. Step 6: Final answer
    x = 433,869.21

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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.