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Finding the Fourth Proportional to 411,070.08, 567,368.22 and 249,891

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Solution

The fourth proportional to 411,070.08, 567,368.22 and 249,891 is: 344,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,070.08 : 567,368.22 = 249,891 : x
  2. Step 2: Convert to fraction form
    411,070.08/567,368.22 = 249,891/x
  3. Step 3: Cross multiply
    411,070.08x = 567,368.22 × 249,891
  4. Step 4: Simplify right side
    411,070.08x = 141,780,211,864.02
  5. Step 5: Solve for x
    x = 141,780,211,864.02/411,070.08
  6. Step 6: Final answer
    x = 344,905.21

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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.