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Finding the Fourth Proportional to 656,075.70, 984,502.35 and 432,078.30

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Solution

The fourth proportional to 656,075.70, 984,502.35 and 432,078.30 is: 648,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,075.70 : 984,502.35 = 432,078.30 : x
  2. Step 2: Convert to fraction form
    656,075.70/984,502.35 = 432,078.30/x
  3. Step 3: Cross multiply
    656,075.70x = 984,502.35 × 432,078.30
  4. Step 4: Simplify right side
    656,075.70x = 425,382,101,734.01
  5. Step 5: Solve for x
    x = 425,382,101,734.01/656,075.70
  6. Step 6: Final answer
    x = 648,373.51

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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.