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Finding the Fourth Proportional to 429,145.54, 592,035.83 and 259,281.25

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Solution

The fourth proportional to 429,145.54, 592,035.83 and 259,281.25 is: 357,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,145.54 : 592,035.83 = 259,281.25 : x
  2. Step 2: Convert to fraction form
    429,145.54/592,035.83 = 259,281.25/x
  3. Step 3: Cross multiply
    429,145.54x = 592,035.83 × 259,281.25
  4. Step 4: Simplify right side
    429,145.54x = 153,503,788,750.78
  5. Step 5: Solve for x
    x = 153,503,788,750.78/429,145.54
  6. Step 6: Final answer
    x = 357,696.34

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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.