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Finding the Fourth Proportional to 802,648.82, 1,107,613.04 and 458,417.07

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Solution

The fourth proportional to 802,648.82, 1,107,613.04 and 458,417.07 is: 632,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,648.82 : 1,107,613.04 = 458,417.07 : x
  2. Step 2: Convert to fraction form
    802,648.82/1,107,613.04 = 458,417.07/x
  3. Step 3: Cross multiply
    802,648.82x = 1,107,613.04 × 458,417.07
  4. Step 4: Simplify right side
    802,648.82x = 507,748,722,198.51
  5. Step 5: Solve for x
    x = 507,748,722,198.51/802,648.82
  6. Step 6: Final answer
    x = 632,591.38

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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.