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Finding the Fourth Proportional to 972,851.10, 1,458,499.05 and 411,423.90

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Solution

The fourth proportional to 972,851.10, 1,458,499.05 and 411,423.90 is: 616,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,851.10 : 1,458,499.05 = 411,423.90 : x
  2. Step 2: Convert to fraction form
    972,851.10/1,458,499.05 = 411,423.90/x
  3. Step 3: Cross multiply
    972,851.10x = 1,458,499.05 × 411,423.90
  4. Step 4: Simplify right side
    972,851.10x = 600,061,367,297.30
  5. Step 5: Solve for x
    x = 600,061,367,297.30/972,851.10
  6. Step 6: Final answer
    x = 616,807.00

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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.