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Finding the Fourth Proportional to 312,345.52, 468,459.16 and 152,260.65

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Solution

The fourth proportional to 312,345.52, 468,459.16 and 152,260.65 is: 228,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,345.52 : 468,459.16 = 152,260.65 : x
  2. Step 2: Convert to fraction form
    312,345.52/468,459.16 = 152,260.65/x
  3. Step 3: Cross multiply
    312,345.52x = 468,459.16 × 152,260.65
  4. Step 4: Simplify right side
    312,345.52x = 71,327,895,374.75
  5. Step 5: Solve for x
    x = 71,327,895,374.75/312,345.52
  6. Step 6: Final answer
    x = 228,362.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.