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Finding the Fourth Proportional to 584,874, 807,127.20 and 316,602

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Solution

The fourth proportional to 584,874, 807,127.20 and 316,602 is: 436,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,874 : 807,127.20 = 316,602 : x
  2. Step 2: Convert to fraction form
    584,874/807,127.20 = 316,602/x
  3. Step 3: Cross multiply
    584,874x = 807,127.20 × 316,602
  4. Step 4: Simplify right side
    584,874x = 255,538,085,774.40
  5. Step 5: Solve for x
    x = 255,538,085,774.40/584,874
  6. Step 6: Final answer
    x = 436,911.34

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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.