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Finding the Fourth Proportional to 517,527.66, 714,209.14 and 288,070.39

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Solution

The fourth proportional to 517,527.66, 714,209.14 and 288,070.39 is: 397,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,527.66 : 714,209.14 = 288,070.39 : x
  2. Step 2: Convert to fraction form
    517,527.66/714,209.14 = 288,070.39/x
  3. Step 3: Cross multiply
    517,527.66x = 714,209.14 × 288,070.39
  4. Step 4: Simplify right side
    517,527.66x = 205,742,505,501.37
  5. Step 5: Solve for x
    x = 205,742,505,501.37/517,527.66
  6. Step 6: Final answer
    x = 397,548.81

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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.