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Finding the Fourth Proportional to 977,294.80, 1,463,609.40 and 977,294.80

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Solution

The fourth proportional to 977,294.80, 1,463,609.40 and 977,294.80 is: 1,463,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,294.80 : 1,463,609.40 = 977,294.80 : x
  2. Step 2: Convert to fraction form
    977,294.80/1,463,609.40 = 977,294.80/x
  3. Step 3: Cross multiply
    977,294.80x = 1,463,609.40 × 977,294.80
  4. Step 4: Simplify right side
    977,294.80x = 1,430,377,855,851.12
  5. Step 5: Solve for x
    x = 1,430,377,855,851.12/977,294.80
  6. Step 6: Final answer
    x = 1,463,609.40

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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.