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Finding the Fourth Proportional to 584,734.50, 806,934.06 and 316,462.50

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Solution

The fourth proportional to 584,734.50, 806,934.06 and 316,462.50 is: 436,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,734.50 : 806,934.06 = 316,462.50 : x
  2. Step 2: Convert to fraction form
    584,734.50/806,934.06 = 316,462.50/x
  3. Step 3: Cross multiply
    584,734.50x = 806,934.06 × 316,462.50
  4. Step 4: Simplify right side
    584,734.50x = 255,364,369,962.75
  5. Step 5: Solve for x
    x = 255,364,369,962.75/584,734.50
  6. Step 6: Final answer
    x = 436,718.49

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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.