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Finding the Fourth Proportional to 656,970.80, 985,715.40 and 257,543.60

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Solution

The fourth proportional to 656,970.80, 985,715.40 and 257,543.60 is: 386,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,970.80 : 985,715.40 = 257,543.60 : x
  2. Step 2: Convert to fraction form
    656,970.80/985,715.40 = 257,543.60/x
  3. Step 3: Cross multiply
    656,970.80x = 985,715.40 × 257,543.60
  4. Step 4: Simplify right side
    656,970.80x = 253,864,692,691.44
  5. Step 5: Solve for x
    x = 253,864,692,691.44/656,970.80
  6. Step 6: Final answer
    x = 386,417.01

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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.