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Finding the Fourth Proportional to 5,097,368.88, 7,646,218.92 and 1,502,834.40

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Solution

The fourth proportional to 5,097,368.88, 7,646,218.92 and 1,502,834.40 is: 2,254,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,368.88 : 7,646,218.92 = 1,502,834.40 : x
  2. Step 2: Convert to fraction form
    5,097,368.88/7,646,218.92 = 1,502,834.40/x
  3. Step 3: Cross multiply
    5,097,368.88x = 7,646,218.92 × 1,502,834.40
  4. Step 4: Simplify right side
    5,097,368.88x = 11,491,000,822,906.85
  5. Step 5: Solve for x
    x = 11,491,000,822,906.85/5,097,368.88
  6. Step 6: Final answer
    x = 2,254,300.42

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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.