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Finding the Fourth Proportional to 349,312.11, 523,968.09 and 149,502.93

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Solution

The fourth proportional to 349,312.11, 523,968.09 and 149,502.93 is: 224,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,312.11 : 523,968.09 = 149,502.93 : x
  2. Step 2: Convert to fraction form
    349,312.11/523,968.09 = 149,502.93/x
  3. Step 3: Cross multiply
    349,312.11x = 523,968.09 × 149,502.93
  4. Step 4: Simplify right side
    349,312.11x = 78,334,764,681.50
  5. Step 5: Solve for x
    x = 78,334,764,681.50/349,312.11
  6. Step 6: Final answer
    x = 224,254.36

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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.