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Finding the Fourth Proportional to 429,155.87, 592,174.53 and 257,033.52

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Solution

The fourth proportional to 429,155.87, 592,174.53 and 257,033.52 is: 354,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,155.87 : 592,174.53 = 257,033.52 : x
  2. Step 2: Convert to fraction form
    429,155.87/592,174.53 = 257,033.52/x
  3. Step 3: Cross multiply
    429,155.87x = 592,174.53 × 257,033.52
  4. Step 4: Simplify right side
    429,155.87x = 152,208,703,900.25
  5. Step 5: Solve for x
    x = 152,208,703,900.25/429,155.87
  6. Step 6: Final answer
    x = 354,669.98

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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.