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Finding the Fourth Proportional to 590,210.28, 814,357.96 and 348,363.16

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Solution

The fourth proportional to 590,210.28, 814,357.96 and 348,363.16 is: 480,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,210.28 : 814,357.96 = 348,363.16 : x
  2. Step 2: Convert to fraction form
    590,210.28/814,357.96 = 348,363.16/x
  3. Step 3: Cross multiply
    590,210.28x = 814,357.96 × 348,363.16
  4. Step 4: Simplify right side
    590,210.28x = 283,692,312,316.75
  5. Step 5: Solve for x
    x = 283,692,312,316.75/590,210.28
  6. Step 6: Final answer
    x = 480,663.12

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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.