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Finding the Fourth Proportional to 517,970.93, 714,705.12 and 288,522.36

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Solution

The fourth proportional to 517,970.93, 714,705.12 and 288,522.36 is: 398,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,970.93 : 714,705.12 = 288,522.36 : x
  2. Step 2: Convert to fraction form
    517,970.93/714,705.12 = 288,522.36/x
  3. Step 3: Cross multiply
    517,970.93x = 714,705.12 × 288,522.36
  4. Step 4: Simplify right side
    517,970.93x = 206,208,407,926.48
  5. Step 5: Solve for x
    x = 206,208,407,926.48/517,970.93
  6. Step 6: Final answer
    x = 398,108.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.