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Finding the Fourth Proportional to 584,918, 807,187.92 and 316,646

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Solution

The fourth proportional to 584,918, 807,187.92 and 316,646 is: 436,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,918 : 807,187.92 = 316,646 : x
  2. Step 2: Convert to fraction form
    584,918/807,187.92 = 316,646/x
  3. Step 3: Cross multiply
    584,918x = 807,187.92 × 316,646
  4. Step 4: Simplify right side
    584,918x = 255,592,826,116.32
  5. Step 5: Solve for x
    x = 255,592,826,116.32/584,918
  6. Step 6: Final answer
    x = 436,972.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.