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Finding the Fourth Proportional to 462,969.95, 638,923.35 and 259,008.71

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Solution

The fourth proportional to 462,969.95, 638,923.35 and 259,008.71 is: 357,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,969.95 : 638,923.35 = 259,008.71 : x
  2. Step 2: Convert to fraction form
    462,969.95/638,923.35 = 259,008.71/x
  3. Step 3: Cross multiply
    462,969.95x = 638,923.35 × 259,008.71
  4. Step 4: Simplify right side
    462,969.95x = 165,486,710,521.98
  5. Step 5: Solve for x
    x = 165,486,710,521.98/462,969.95
  6. Step 6: Final answer
    x = 357,445.90

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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.