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Finding the Fourth Proportional to 523,892.40, 785,320.20 and 257,434.80

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Solution

The fourth proportional to 523,892.40, 785,320.20 and 257,434.80 is: 385,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,892.40 : 785,320.20 = 257,434.80 : x
  2. Step 2: Convert to fraction form
    523,892.40/785,320.20 = 257,434.80/x
  3. Step 3: Cross multiply
    523,892.40x = 785,320.20 × 257,434.80
  4. Step 4: Simplify right side
    523,892.40x = 202,168,748,622.96
  5. Step 5: Solve for x
    x = 202,168,748,622.96/523,892.40
  6. Step 6: Final answer
    x = 385,897.46

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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.