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Finding the Fourth Proportional to 4,977,644.76, 7,468,017.36 and 1,782,798.66

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Solution

The fourth proportional to 4,977,644.76, 7,468,017.36 and 1,782,798.66 is: 2,674,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,644.76 : 7,468,017.36 = 1,782,798.66 : x
  2. Step 2: Convert to fraction form
    4,977,644.76/7,468,017.36 = 1,782,798.66/x
  3. Step 3: Cross multiply
    4,977,644.76x = 7,468,017.36 × 1,782,798.66
  4. Step 4: Simplify right side
    4,977,644.76x = 13,313,971,342,264.74
  5. Step 5: Solve for x
    x = 13,313,971,342,264.74/4,977,644.76
  6. Step 6: Final answer
    x = 2,674,753.22

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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.