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Finding the Fourth Proportional to 714,867.90, 986,540.67 and 413,061.90

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Solution

The fourth proportional to 714,867.90, 986,540.67 and 413,061.90 is: 570,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,867.90 : 986,540.67 = 413,061.90 : x
  2. Step 2: Convert to fraction form
    714,867.90/986,540.67 = 413,061.90/x
  3. Step 3: Cross multiply
    714,867.90x = 986,540.67 × 413,061.90
  4. Step 4: Simplify right side
    714,867.90x = 407,502,363,577.47
  5. Step 5: Solve for x
    x = 407,502,363,577.47/714,867.90
  6. Step 6: Final answer
    x = 570,038.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.