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Finding the Fourth Proportional to 390,429.30, 585,643.95 and 232,835.70

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Solution

The fourth proportional to 390,429.30, 585,643.95 and 232,835.70 is: 349,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,429.30 : 585,643.95 = 232,835.70 : x
  2. Step 2: Convert to fraction form
    390,429.30/585,643.95 = 232,835.70/x
  3. Step 3: Cross multiply
    390,429.30x = 585,643.95 × 232,835.70
  4. Step 4: Simplify right side
    390,429.30x = 136,358,819,049.02
  5. Step 5: Solve for x
    x = 136,358,819,049.02/390,429.30
  6. Step 6: Final answer
    x = 349,253.55

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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.