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Finding the Fourth Proportional to 473,803, 710,827.62 and 141,379

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Solution

The fourth proportional to 473,803, 710,827.62 and 141,379 is: 212,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,803 : 710,827.62 = 141,379 : x
  2. Step 2: Convert to fraction form
    473,803/710,827.62 = 141,379/x
  3. Step 3: Cross multiply
    473,803x = 710,827.62 × 141,379
  4. Step 4: Simplify right side
    473,803x = 100,496,098,087.98
  5. Step 5: Solve for x
    x = 100,496,098,087.98/473,803
  6. Step 6: Final answer
    x = 212,105.24

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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.