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Finding the Fourth Proportional to 1,186,065, 1,779,281.82 and 398,281.32

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Solution

The fourth proportional to 1,186,065, 1,779,281.82 and 398,281.32 is: 597,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,065 : 1,779,281.82 = 398,281.32 : x
  2. Step 2: Convert to fraction form
    1,186,065/1,779,281.82 = 398,281.32/x
  3. Step 3: Cross multiply
    1,186,065x = 1,779,281.82 × 398,281.32
  4. Step 4: Simplify right side
    1,186,065x = 708,654,711,921.60
  5. Step 5: Solve for x
    x = 708,654,711,921.60/1,186,065
  6. Step 6: Final answer
    x = 597,483.87

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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.