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Finding the Fourth Proportional to 410,298.70, 615,386.48 and 129,779.50

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Solution

The fourth proportional to 410,298.70, 615,386.48 and 129,779.50 is: 194,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,298.70 : 615,386.48 = 129,779.50 : x
  2. Step 2: Convert to fraction form
    410,298.70/615,386.48 = 129,779.50/x
  3. Step 3: Cross multiply
    410,298.70x = 615,386.48 × 129,779.50
  4. Step 4: Simplify right side
    410,298.70x = 79,864,549,681.16
  5. Step 5: Solve for x
    x = 79,864,549,681.16/410,298.70
  6. Step 6: Final answer
    x = 194,649.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.