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Finding the Fourth Proportional to 386,722.60, 581,639.10 and 346,287.40

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Solution

The fourth proportional to 386,722.60, 581,639.10 and 346,287.40 is: 520,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,722.60 : 581,639.10 = 346,287.40 : x
  2. Step 2: Convert to fraction form
    386,722.60/581,639.10 = 346,287.40/x
  3. Step 3: Cross multiply
    386,722.60x = 581,639.10 × 346,287.40
  4. Step 4: Simplify right side
    386,722.60x = 201,414,291,677.34
  5. Step 5: Solve for x
    x = 201,414,291,677.34/386,722.60
  6. Step 6: Final answer
    x = 520,823.69

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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.