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Finding the Fourth Proportional to 315,710.66, 435,710.76 and 172,492.22

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Solution

The fourth proportional to 315,710.66, 435,710.76 and 172,492.22 is: 238,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,710.66 : 435,710.76 = 172,492.22 : x
  2. Step 2: Convert to fraction form
    315,710.66/435,710.76 = 172,492.22/x
  3. Step 3: Cross multiply
    315,710.66x = 435,710.76 × 172,492.22
  4. Step 4: Simplify right side
    315,710.66x = 75,156,716,270.29
  5. Step 5: Solve for x
    x = 75,156,716,270.29/315,710.66
  6. Step 6: Final answer
    x = 238,055.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.