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Finding the Fourth Proportional to 664,265.04, 916,810.76 and 416,022.01

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Solution

The fourth proportional to 664,265.04, 916,810.76 and 416,022.01 is: 574,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,265.04 : 916,810.76 = 416,022.01 : x
  2. Step 2: Convert to fraction form
    664,265.04/916,810.76 = 416,022.01/x
  3. Step 3: Cross multiply
    664,265.04x = 916,810.76 × 416,022.01
  4. Step 4: Simplify right side
    664,265.04x = 381,413,455,164.83
  5. Step 5: Solve for x
    x = 381,413,455,164.83/664,265.04
  6. Step 6: Final answer
    x = 574,188.66

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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.