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Finding the Fourth Proportional to 343,765.12, 473,957.76 and 222,693.76

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Solution

The fourth proportional to 343,765.12, 473,957.76 and 222,693.76 is: 307,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,765.12 : 473,957.76 = 222,693.76 : x
  2. Step 2: Convert to fraction form
    343,765.12/473,957.76 = 222,693.76/x
  3. Step 3: Cross multiply
    343,765.12x = 473,957.76 × 222,693.76
  4. Step 4: Simplify right side
    343,765.12x = 105,547,435,655.58
  5. Step 5: Solve for x
    x = 105,547,435,655.58/343,765.12
  6. Step 6: Final answer
    x = 307,033.58

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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.