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Finding the Fourth Proportional to 553,301, 829,503.97 and 233,246.20

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Solution

The fourth proportional to 553,301, 829,503.97 and 233,246.20 is: 349,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,301 : 829,503.97 = 233,246.20 : x
  2. Step 2: Convert to fraction form
    553,301/829,503.97 = 233,246.20/x
  3. Step 3: Cross multiply
    553,301x = 829,503.97 × 233,246.20
  4. Step 4: Simplify right side
    553,301x = 193,478,648,887.41
  5. Step 5: Solve for x
    x = 193,478,648,887.41/553,301
  6. Step 6: Final answer
    x = 349,680.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.