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Finding the Fourth Proportional to 532,102, 798,186.84 and 216,386.32

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Solution

The fourth proportional to 532,102, 798,186.84 and 216,386.32 is: 324,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102 : 798,186.84 = 216,386.32 : x
  2. Step 2: Convert to fraction form
    532,102/798,186.84 = 216,386.32/x
  3. Step 3: Cross multiply
    532,102x = 798,186.84 × 216,386.32
  4. Step 4: Simplify right side
    532,102x = 172,716,712,980.03
  5. Step 5: Solve for x
    x = 172,716,712,980.03/532,102
  6. Step 6: Final answer
    x = 324,593.24

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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.