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Finding the Fourth Proportional to 750,782.61, 1,036,080.44 and 411,256.53

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Solution

The fourth proportional to 750,782.61, 1,036,080.44 and 411,256.53 is: 567,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,782.61 : 1,036,080.44 = 411,256.53 : x
  2. Step 2: Convert to fraction form
    750,782.61/1,036,080.44 = 411,256.53/x
  3. Step 3: Cross multiply
    750,782.61x = 1,036,080.44 × 411,256.53
  4. Step 4: Simplify right side
    750,782.61x = 426,094,846,555.27
  5. Step 5: Solve for x
    x = 426,094,846,555.27/750,782.61
  6. Step 6: Final answer
    x = 567,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.