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Finding the Fourth Proportional to 535,688.34, 739,225.59 and 293,966.06

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Solution

The fourth proportional to 535,688.34, 739,225.59 and 293,966.06 is: 405,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,688.34 : 739,225.59 = 293,966.06 : x
  2. Step 2: Convert to fraction form
    535,688.34/739,225.59 = 293,966.06/x
  3. Step 3: Cross multiply
    535,688.34x = 739,225.59 × 293,966.06
  4. Step 4: Simplify right side
    535,688.34x = 217,307,235,156.68
  5. Step 5: Solve for x
    x = 217,307,235,156.68/535,688.34
  6. Step 6: Final answer
    x = 405,659.82

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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.