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Finding the Fourth Proportional to 473,885.63, 710,828.54 and 158,342.57

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Solution

The fourth proportional to 473,885.63, 710,828.54 and 158,342.57 is: 237,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,885.63 : 710,828.54 = 158,342.57 : x
  2. Step 2: Convert to fraction form
    473,885.63/710,828.54 = 158,342.57/x
  3. Step 3: Cross multiply
    473,885.63x = 710,828.54 × 158,342.57
  4. Step 4: Simplify right side
    473,885.63x = 112,554,413,507.09
  5. Step 5: Solve for x
    x = 112,554,413,507.09/473,885.63
  6. Step 6: Final answer
    x = 237,513.88

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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.