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Finding the Fourth Proportional to 473,001.40, 709,502.10 and 463,670.20

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Solution

The fourth proportional to 473,001.40, 709,502.10 and 463,670.20 is: 695,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,001.40 : 709,502.10 = 463,670.20 : x
  2. Step 2: Convert to fraction form
    473,001.40/709,502.10 = 463,670.20/x
  3. Step 3: Cross multiply
    473,001.40x = 709,502.10 × 463,670.20
  4. Step 4: Simplify right side
    473,001.40x = 328,974,980,607.42
  5. Step 5: Solve for x
    x = 328,974,980,607.42/473,001.40
  6. Step 6: Final answer
    x = 695,505.30

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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.