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Finding the Fourth Proportional to 357,812.47, 536,738.80 and 114,674.70

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Solution

The fourth proportional to 357,812.47, 536,738.80 and 114,674.70 is: 172,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,812.47 : 536,738.80 = 114,674.70 : x
  2. Step 2: Convert to fraction form
    357,812.47/536,738.80 = 114,674.70/x
  3. Step 3: Cross multiply
    357,812.47x = 536,738.80 × 114,674.70
  4. Step 4: Simplify right side
    357,812.47x = 61,550,358,184.67
  5. Step 5: Solve for x
    x = 61,550,358,184.67/357,812.47
  6. Step 6: Final answer
    x = 172,018.49

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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.