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Finding the Fourth Proportional to 473,817, 710,848.62 and 141,393

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Solution

The fourth proportional to 473,817, 710,848.62 and 141,393 is: 212,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,817 : 710,848.62 = 141,393 : x
  2. Step 2: Convert to fraction form
    473,817/710,848.62 = 141,393/x
  3. Step 3: Cross multiply
    473,817x = 710,848.62 × 141,393
  4. Step 4: Simplify right side
    473,817x = 100,509,018,927.66
  5. Step 5: Solve for x
    x = 100,509,018,927.66/473,817
  6. Step 6: Final answer
    x = 212,126.24

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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.