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Finding the Fourth Proportional to 532,151.26, 797,803.06 and 307,256.59

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Solution

The fourth proportional to 532,151.26, 797,803.06 and 307,256.59 is: 460,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,151.26 : 797,803.06 = 307,256.59 : x
  2. Step 2: Convert to fraction form
    532,151.26/797,803.06 = 307,256.59/x
  3. Step 3: Cross multiply
    532,151.26x = 797,803.06 × 307,256.59
  4. Step 4: Simplify right side
    532,151.26x = 245,130,242,181.87
  5. Step 5: Solve for x
    x = 245,130,242,181.87/532,151.26
  6. Step 6: Final answer
    x = 460,640.16

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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.