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Finding the Fourth Proportional to 296,405.48, 409,047.53 and 180,079.35

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Solution

The fourth proportional to 296,405.48, 409,047.53 and 180,079.35 is: 248,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,405.48 : 409,047.53 = 180,079.35 : x
  2. Step 2: Convert to fraction form
    296,405.48/409,047.53 = 180,079.35/x
  3. Step 3: Cross multiply
    296,405.48x = 409,047.53 × 180,079.35
  4. Step 4: Simplify right side
    296,405.48x = 73,661,012,421.11
  5. Step 5: Solve for x
    x = 73,661,012,421.11/296,405.48
  6. Step 6: Final answer
    x = 248,514.34

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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.