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Finding the Fourth Proportional to 360,482.47, 497,463.53 and 215,354.16

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Solution

The fourth proportional to 360,482.47, 497,463.53 and 215,354.16 is: 297,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,482.47 : 497,463.53 = 215,354.16 : x
  2. Step 2: Convert to fraction form
    360,482.47/497,463.53 = 215,354.16/x
  3. Step 3: Cross multiply
    360,482.47x = 497,463.53 × 215,354.16
  4. Step 4: Simplify right side
    360,482.47x = 107,130,839,557.01
  5. Step 5: Solve for x
    x = 107,130,839,557.01/360,482.47
  6. Step 6: Final answer
    x = 297,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.