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Finding the Fourth Proportional to 714,966, 1,072,596.72 and 209,543.58

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Solution

The fourth proportional to 714,966, 1,072,596.72 and 209,543.58 is: 314,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,966 : 1,072,596.72 = 209,543.58 : x
  2. Step 2: Convert to fraction form
    714,966/1,072,596.72 = 209,543.58/x
  3. Step 3: Cross multiply
    714,966x = 1,072,596.72 × 209,543.58
  4. Step 4: Simplify right side
    714,966x = 224,755,756,605.06
  5. Step 5: Solve for x
    x = 224,755,756,605.06/714,966
  6. Step 6: Final answer
    x = 314,358.66

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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.