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Finding the Fourth Proportional to 411,429.18, 616,675.32 and 257,627.06

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Solution

The fourth proportional to 411,429.18, 616,675.32 and 257,627.06 is: 386,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,429.18 : 616,675.32 = 257,627.06 : x
  2. Step 2: Convert to fraction form
    411,429.18/616,675.32 = 257,627.06/x
  3. Step 3: Cross multiply
    411,429.18x = 616,675.32 × 257,627.06
  4. Step 4: Simplify right side
    411,429.18x = 158,872,249,666.16
  5. Step 5: Solve for x
    x = 158,872,249,666.16/411,429.18
  6. Step 6: Final answer
    x = 386,147.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.