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Finding the Fourth Proportional to 417,487.09, 626,264.43 and 117,970.15

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Solution

The fourth proportional to 417,487.09, 626,264.43 and 117,970.15 is: 176,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,487.09 : 626,264.43 = 117,970.15 : x
  2. Step 2: Convert to fraction form
    417,487.09/626,264.43 = 117,970.15/x
  3. Step 3: Cross multiply
    417,487.09x = 626,264.43 × 117,970.15
  4. Step 4: Simplify right side
    417,487.09x = 73,880,508,746.76
  5. Step 5: Solve for x
    x = 73,880,508,746.76/417,487.09
  6. Step 6: Final answer
    x = 176,964.77

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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.