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Finding the Fourth Proportional to 429,154.74, 592,172.98 and 257,032.37

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Solution

The fourth proportional to 429,154.74, 592,172.98 and 257,032.37 is: 354,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,154.74 : 592,172.98 = 257,032.37 : x
  2. Step 2: Convert to fraction form
    429,154.74/592,172.98 = 257,032.37/x
  3. Step 3: Cross multiply
    429,154.74x = 592,172.98 × 257,032.37
  4. Step 4: Simplify right side
    429,154.74x = 152,207,625,337.21
  5. Step 5: Solve for x
    x = 152,207,625,337.21/429,154.74
  6. Step 6: Final answer
    x = 354,668.40

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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.