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Finding the Fourth Proportional to 463,482.40, 695,223.60 and 147,962.40

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Solution

The fourth proportional to 463,482.40, 695,223.60 and 147,962.40 is: 221,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,482.40 : 695,223.60 = 147,962.40 : x
  2. Step 2: Convert to fraction form
    463,482.40/695,223.60 = 147,962.40/x
  3. Step 3: Cross multiply
    463,482.40x = 695,223.60 × 147,962.40
  4. Step 4: Simplify right side
    463,482.40x = 102,866,952,392.64
  5. Step 5: Solve for x
    x = 102,866,952,392.64/463,482.40
  6. Step 6: Final answer
    x = 221,943.60

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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.