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Finding the Fourth Proportional to 475,881.51, 714,009.17 and 209,455.24

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Solution

The fourth proportional to 475,881.51, 714,009.17 and 209,455.24 is: 314,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,881.51 : 714,009.17 = 209,455.24 : x
  2. Step 2: Convert to fraction form
    475,881.51/714,009.17 = 209,455.24/x
  3. Step 3: Cross multiply
    475,881.51x = 714,009.17 × 209,455.24
  4. Step 4: Simplify right side
    475,881.51x = 149,552,962,064.55
  5. Step 5: Solve for x
    x = 149,552,962,064.55/475,881.51
  6. Step 6: Final answer
    x = 314,265.12

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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.