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Finding the Fourth Proportional to 429,448.78, 592,693.98 and 259,684.12

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Solution

The fourth proportional to 429,448.78, 592,693.98 and 259,684.12 is: 358,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,448.78 : 592,693.98 = 259,684.12 : x
  2. Step 2: Convert to fraction form
    429,448.78/592,693.98 = 259,684.12/x
  3. Step 3: Cross multiply
    429,448.78x = 592,693.98 × 259,684.12
  4. Step 4: Simplify right side
    429,448.78x = 153,913,214,625.60
  5. Step 5: Solve for x
    x = 153,913,214,625.60/429,448.78
  6. Step 6: Final answer
    x = 358,397.14

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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.