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Finding the Fourth Proportional to 584,019.50, 805,947.09 and 315,747.50

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Solution

The fourth proportional to 584,019.50, 805,947.09 and 315,747.50 is: 435,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,019.50 : 805,947.09 = 315,747.50 : x
  2. Step 2: Convert to fraction form
    584,019.50/805,947.09 = 315,747.50/x
  3. Step 3: Cross multiply
    584,019.50x = 805,947.09 × 315,747.50
  4. Step 4: Simplify right side
    584,019.50x = 254,475,778,799.78
  5. Step 5: Solve for x
    x = 254,475,778,799.78/584,019.50
  6. Step 6: Final answer
    x = 435,731.65

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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.