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Finding the Fourth Proportional to 750,827.04, 1,036,143 and 411,296.64

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Solution

The fourth proportional to 750,827.04, 1,036,143 and 411,296.64 is: 567,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,827.04 : 1,036,143 = 411,296.64 : x
  2. Step 2: Convert to fraction form
    750,827.04/1,036,143 = 411,296.64/x
  3. Step 3: Cross multiply
    750,827.04x = 1,036,143 × 411,296.64
  4. Step 4: Simplify right side
    750,827.04x = 426,162,134,459.52
  5. Step 5: Solve for x
    x = 426,162,134,459.52/750,827.04
  6. Step 6: Final answer
    x = 567,590.29

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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.