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Finding the Fourth Proportional to 429,064.52, 592,113.12 and 238,095.68

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Solution

The fourth proportional to 429,064.52, 592,113.12 and 238,095.68 is: 328,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,064.52 : 592,113.12 = 238,095.68 : x
  2. Step 2: Convert to fraction form
    429,064.52/592,113.12 = 238,095.68/x
  3. Step 3: Cross multiply
    429,064.52x = 592,113.12 × 238,095.68
  4. Step 4: Simplify right side
    429,064.52x = 140,979,575,943.32
  5. Step 5: Solve for x
    x = 140,979,575,943.32/429,064.52
  6. Step 6: Final answer
    x = 328,574.30

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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.