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Finding the Fourth Proportional to 406,225.35, 561,661.10 and 355,779.75

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Solution

The fourth proportional to 406,225.35, 561,661.10 and 355,779.75 is: 491,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,225.35 : 561,661.10 = 355,779.75 : x
  2. Step 2: Convert to fraction form
    406,225.35/561,661.10 = 355,779.75/x
  3. Step 3: Cross multiply
    406,225.35x = 561,661.10 × 355,779.75
  4. Step 4: Simplify right side
    406,225.35x = 199,827,643,963.83
  5. Step 5: Solve for x
    x = 199,827,643,963.83/406,225.35
  6. Step 6: Final answer
    x = 491,913.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.