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Finding the Fourth Proportional to 750,818, 1,036,128.84 and 411,287.60

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Solution

The fourth proportional to 750,818, 1,036,128.84 and 411,287.60 is: 567,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,818 : 1,036,128.84 = 411,287.60 : x
  2. Step 2: Convert to fraction form
    750,818/1,036,128.84 = 411,287.60/x
  3. Step 3: Cross multiply
    750,818x = 1,036,128.84 × 411,287.60
  4. Step 4: Simplify right side
    750,818x = 426,146,943,894.38
  5. Step 5: Solve for x
    x = 426,146,943,894.38/750,818
  6. Step 6: Final answer
    x = 567,576.89

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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.