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Finding the Fourth Proportional to 429,453.76, 592,700.86 and 259,689.10

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Solution

The fourth proportional to 429,453.76, 592,700.86 and 259,689.10 is: 358,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,453.76 : 592,700.86 = 259,689.10 : x
  2. Step 2: Convert to fraction form
    429,453.76/592,700.86 = 259,689.10/x
  3. Step 3: Cross multiply
    429,453.76x = 592,700.86 × 259,689.10
  4. Step 4: Simplify right side
    429,453.76x = 153,917,952,902.63
  5. Step 5: Solve for x
    x = 153,917,952,902.63/429,453.76
  6. Step 6: Final answer
    x = 358,404.02

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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.