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Finding the Fourth Proportional to 404,564.90, 565,341.10 and 404,564.90

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Solution

The fourth proportional to 404,564.90, 565,341.10 and 404,564.90 is: 565,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,564.90 : 565,341.10 = 404,564.90 : x
  2. Step 2: Convert to fraction form
    404,564.90/565,341.10 = 404,564.90/x
  3. Step 3: Cross multiply
    404,564.90x = 565,341.10 × 404,564.90
  4. Step 4: Simplify right side
    404,564.90x = 228,717,165,587.39
  5. Step 5: Solve for x
    x = 228,717,165,587.39/404,564.90
  6. Step 6: Final answer
    x = 565,341.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.