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Finding the Fourth Proportional to 502,458.40, 753,457.20 and 221,831.20

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Solution

The fourth proportional to 502,458.40, 753,457.20 and 221,831.20 is: 332,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,458.40 : 753,457.20 = 221,831.20 : x
  2. Step 2: Convert to fraction form
    502,458.40/753,457.20 = 221,831.20/x
  3. Step 3: Cross multiply
    502,458.40x = 753,457.20 × 221,831.20
  4. Step 4: Simplify right side
    502,458.40x = 167,140,314,824.64
  5. Step 5: Solve for x
    x = 167,140,314,824.64/502,458.40
  6. Step 6: Final answer
    x = 332,645.08

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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.