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Finding the Fourth Proportional to 316,948.69, 475,419.43 and 77,063.95

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Solution

The fourth proportional to 316,948.69, 475,419.43 and 77,063.95 is: 115,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,948.69 : 475,419.43 = 77,063.95 : x
  2. Step 2: Convert to fraction form
    316,948.69/475,419.43 = 77,063.95/x
  3. Step 3: Cross multiply
    316,948.69x = 475,419.43 × 77,063.95
  4. Step 4: Simplify right side
    316,948.69x = 36,637,699,182.55
  5. Step 5: Solve for x
    x = 36,637,699,182.55/316,948.69
  6. Step 6: Final answer
    x = 115,595.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.