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Finding the Fourth Proportional to 472,948.60, 708,386.10 and 410,740.60

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Solution

The fourth proportional to 472,948.60, 708,386.10 and 410,740.60 is: 615,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,948.60 : 708,386.10 = 410,740.60 : x
  2. Step 2: Convert to fraction form
    472,948.60/708,386.10 = 410,740.60/x
  3. Step 3: Cross multiply
    472,948.60x = 708,386.10 × 410,740.60
  4. Step 4: Simplify right side
    472,948.60x = 290,962,931,745.66
  5. Step 5: Solve for x
    x = 290,962,931,745.66/472,948.60
  6. Step 6: Final answer
    x = 615,210.47

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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.