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Finding the Fourth Proportional to 416,254.08, 574,678.08 and 273,264.24

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Solution

The fourth proportional to 416,254.08, 574,678.08 and 273,264.24 is: 377,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,254.08 : 574,678.08 = 273,264.24 : x
  2. Step 2: Convert to fraction form
    416,254.08/574,678.08 = 273,264.24/x
  3. Step 3: Cross multiply
    416,254.08x = 574,678.08 × 273,264.24
  4. Step 4: Simplify right side
    416,254.08x = 157,038,968,775.86
  5. Step 5: Solve for x
    x = 157,038,968,775.86/416,254.08
  6. Step 6: Final answer
    x = 377,267.10

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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.