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Finding the Fourth Proportional to 390,077.80, 584,132.55 and 311,345.80

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Solution

The fourth proportional to 390,077.80, 584,132.55 and 311,345.80 is: 466,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,077.80 : 584,132.55 = 311,345.80 : x
  2. Step 2: Convert to fraction form
    390,077.80/584,132.55 = 311,345.80/x
  3. Step 3: Cross multiply
    390,077.80x = 584,132.55 × 311,345.80
  4. Step 4: Simplify right side
    390,077.80x = 181,867,216,085.79
  5. Step 5: Solve for x
    x = 181,867,216,085.79/390,077.80
  6. Step 6: Final answer
    x = 466,233.19

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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.