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Finding the Fourth Proportional to 648,053.70, 972,080.55 and 411,566.10

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Solution

The fourth proportional to 648,053.70, 972,080.55 and 411,566.10 is: 617,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,053.70 : 972,080.55 = 411,566.10 : x
  2. Step 2: Convert to fraction form
    648,053.70/972,080.55 = 411,566.10/x
  3. Step 3: Cross multiply
    648,053.70x = 972,080.55 × 411,566.10
  4. Step 4: Simplify right side
    648,053.70x = 400,075,400,849.36
  5. Step 5: Solve for x
    x = 400,075,400,849.36/648,053.70
  6. Step 6: Final answer
    x = 617,349.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.