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Finding the Fourth Proportional to 580,047.13, 870,070.76 and 180,720.10

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Solution

The fourth proportional to 580,047.13, 870,070.76 and 180,720.10 is: 271,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,047.13 : 870,070.76 = 180,720.10 : x
  2. Step 2: Convert to fraction form
    580,047.13/870,070.76 = 180,720.10/x
  3. Step 3: Cross multiply
    580,047.13x = 870,070.76 × 180,720.10
  4. Step 4: Simplify right side
    580,047.13x = 157,239,274,754.28
  5. Step 5: Solve for x
    x = 157,239,274,754.28/580,047.13
  6. Step 6: Final answer
    x = 271,080.17

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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.