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Finding the Fourth Proportional to 473,670.90, 710,554.16 and 153,809.39

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Solution

The fourth proportional to 473,670.90, 710,554.16 and 153,809.39 is: 230,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,670.90 : 710,554.16 = 153,809.39 : x
  2. Step 2: Convert to fraction form
    473,670.90/710,554.16 = 153,809.39/x
  3. Step 3: Cross multiply
    473,670.90x = 710,554.16 × 153,809.39
  4. Step 4: Simplify right side
    473,670.90x = 109,289,904,072.47
  5. Step 5: Solve for x
    x = 109,289,904,072.47/473,670.90
  6. Step 6: Final answer
    x = 230,729.61

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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.