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Finding the Fourth Proportional to 473,071.08, 709,719.60 and 157,530.72

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Solution

The fourth proportional to 473,071.08, 709,719.60 and 157,530.72 is: 236,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,071.08 : 709,719.60 = 157,530.72 : x
  2. Step 2: Convert to fraction form
    473,071.08/709,719.60 = 157,530.72/x
  3. Step 3: Cross multiply
    473,071.08x = 709,719.60 × 157,530.72
  4. Step 4: Simplify right side
    473,071.08x = 111,802,639,586.11
  5. Step 5: Solve for x
    x = 111,802,639,586.11/473,071.08
  6. Step 6: Final answer
    x = 236,333.70

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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.