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Finding the Fourth Proportional to 294,391.74, 406,259.44 and 165,312.26

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Solution

The fourth proportional to 294,391.74, 406,259.44 and 165,312.26 is: 228,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,391.74 : 406,259.44 = 165,312.26 : x
  2. Step 2: Convert to fraction form
    294,391.74/406,259.44 = 165,312.26/x
  3. Step 3: Cross multiply
    294,391.74x = 406,259.44 × 165,312.26
  4. Step 4: Simplify right side
    294,391.74x = 67,159,663,728.16
  5. Step 5: Solve for x
    x = 67,159,663,728.16/294,391.74
  6. Step 6: Final answer
    x = 228,130.26

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1.5x scale

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.