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Finding the Fourth Proportional to 535,658, 803,712.29 and 333,423.17

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Solution

The fourth proportional to 535,658, 803,712.29 and 333,423.17 is: 500,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,658 : 803,712.29 = 333,423.17 : x
  2. Step 2: Convert to fraction form
    535,658/803,712.29 = 333,423.17/x
  3. Step 3: Cross multiply
    535,658x = 803,712.29 × 333,423.17
  4. Step 4: Simplify right side
    535,658x = 267,976,299,499.76
  5. Step 5: Solve for x
    x = 267,976,299,499.76/535,658
  6. Step 6: Final answer
    x = 500,274.99

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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.