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Finding the Fourth Proportional to 584,531.50, 806,653.47 and 316,259.50

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Solution

The fourth proportional to 584,531.50, 806,653.47 and 316,259.50 is: 436,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,531.50 : 806,653.47 = 316,259.50 : x
  2. Step 2: Convert to fraction form
    584,531.50/806,653.47 = 316,259.50/x
  3. Step 3: Cross multiply
    584,531.50x = 806,653.47 × 316,259.50
  4. Step 4: Simplify right side
    584,531.50x = 255,111,823,095.47
  5. Step 5: Solve for x
    x = 255,111,823,095.47/584,531.50
  6. Step 6: Final answer
    x = 436,438.11

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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.