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Finding the Fourth Proportional to 410,603.80, 615,905.70 and 242,642.20

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Solution

The fourth proportional to 410,603.80, 615,905.70 and 242,642.20 is: 363,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,603.80 : 615,905.70 = 242,642.20 : x
  2. Step 2: Convert to fraction form
    410,603.80/615,905.70 = 242,642.20/x
  3. Step 3: Cross multiply
    410,603.80x = 615,905.70 × 242,642.20
  4. Step 4: Simplify right side
    410,603.80x = 149,444,714,040.54
  5. Step 5: Solve for x
    x = 149,444,714,040.54/410,603.80
  6. Step 6: Final answer
    x = 363,963.30

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1.5x scale

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.