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Finding the Fourth Proportional to 315,748.50, 473,856.51 and 149,536.98

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Solution

The fourth proportional to 315,748.50, 473,856.51 and 149,536.98 is: 224,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,748.50 : 473,856.51 = 149,536.98 : x
  2. Step 2: Convert to fraction form
    315,748.50/473,856.51 = 149,536.98/x
  3. Step 3: Cross multiply
    315,748.50x = 473,856.51 × 149,536.98
  4. Step 4: Simplify right side
    315,748.50x = 70,859,071,458.74
  5. Step 5: Solve for x
    x = 70,859,071,458.74/315,748.50
  6. Step 6: Final answer
    x = 224,416.18

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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.