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Finding the Fourth Proportional to 386,465.60, 578,920.80 and 260,494.40

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Solution

The fourth proportional to 386,465.60, 578,920.80 and 260,494.40 is: 390,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,465.60 : 578,920.80 = 260,494.40 : x
  2. Step 2: Convert to fraction form
    386,465.60/578,920.80 = 260,494.40/x
  3. Step 3: Cross multiply
    386,465.60x = 578,920.80 × 260,494.40
  4. Step 4: Simplify right side
    386,465.60x = 150,805,626,443.52
  5. Step 5: Solve for x
    x = 150,805,626,443.52/386,465.60
  6. Step 6: Final answer
    x = 390,217.46

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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.