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Finding the Fourth Proportional to 532,242, 798,582.24 and 390,809.52

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Solution

The fourth proportional to 532,242, 798,582.24 and 390,809.52 is: 586,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,242 : 798,582.24 = 390,809.52 : x
  2. Step 2: Convert to fraction form
    532,242/798,582.24 = 390,809.52/x
  3. Step 3: Cross multiply
    532,242x = 798,582.24 × 390,809.52
  4. Step 4: Simplify right side
    532,242x = 312,093,541,894.93
  5. Step 5: Solve for x
    x = 312,093,541,894.93/532,242
  6. Step 6: Final answer
    x = 586,375.26

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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.