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Finding the Fourth Proportional to 532,085.08, 798,407.87 and 307,603.16

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Solution

The fourth proportional to 532,085.08, 798,407.87 and 307,603.16 is: 461,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,085.08 : 798,407.87 = 307,603.16 : x
  2. Step 2: Convert to fraction form
    532,085.08/798,407.87 = 307,603.16/x
  3. Step 3: Cross multiply
    532,085.08x = 798,407.87 × 307,603.16
  4. Step 4: Simplify right side
    532,085.08x = 245,592,783,780.87
  5. Step 5: Solve for x
    x = 245,592,783,780.87/532,085.08
  6. Step 6: Final answer
    x = 461,566.76

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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.