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Finding the Fourth Proportional to 584,913, 807,181.02 and 316,641

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Solution

The fourth proportional to 584,913, 807,181.02 and 316,641 is: 436,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,913 : 807,181.02 = 316,641 : x
  2. Step 2: Convert to fraction form
    584,913/807,181.02 = 316,641/x
  3. Step 3: Cross multiply
    584,913x = 807,181.02 × 316,641
  4. Step 4: Simplify right side
    584,913x = 255,586,605,353.82
  5. Step 5: Solve for x
    x = 255,586,605,353.82/584,913
  6. Step 6: Final answer
    x = 436,965.16

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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.