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Finding the Fourth Proportional to 461,909.98, 637,417.11 and 257,957.65

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Solution

The fourth proportional to 461,909.98, 637,417.11 and 257,957.65 is: 355,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,909.98 : 637,417.11 = 257,957.65 : x
  2. Step 2: Convert to fraction form
    461,909.98/637,417.11 = 257,957.65/x
  3. Step 3: Cross multiply
    461,909.98x = 637,417.11 × 257,957.65
  4. Step 4: Simplify right side
    461,909.98x = 164,426,619,765.39
  5. Step 5: Solve for x
    x = 164,426,619,765.39/461,909.98
  6. Step 6: Final answer
    x = 355,971.13

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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.