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Finding the Fourth Proportional to 532,058.02, 797,779.84 and 363,782.14

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Solution

The fourth proportional to 532,058.02, 797,779.84 and 363,782.14 is: 545,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,058.02 : 797,779.84 = 363,782.14 : x
  2. Step 2: Convert to fraction form
    532,058.02/797,779.84 = 363,782.14/x
  3. Step 3: Cross multiply
    532,058.02x = 797,779.84 × 363,782.14
  4. Step 4: Simplify right side
    532,058.02x = 290,218,057,444.06
  5. Step 5: Solve for x
    x = 290,218,057,444.06/532,058.02
  6. Step 6: Final answer
    x = 545,463.18

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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.