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Finding the Fourth Proportional to 535,384.47, 738,824.70 and 293,666.16

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Solution

The fourth proportional to 535,384.47, 738,824.70 and 293,666.16 is: 405,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,384.47 : 738,824.70 = 293,666.16 : x
  2. Step 2: Convert to fraction form
    535,384.47/738,824.70 = 293,666.16/x
  3. Step 3: Cross multiply
    535,384.47x = 738,824.70 × 293,666.16
  4. Step 4: Simplify right side
    535,384.47x = 216,967,812,562.15
  5. Step 5: Solve for x
    x = 216,967,812,562.15/535,384.47
  6. Step 6: Final answer
    x = 405,256.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.