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Finding the Fourth Proportional to 600,004.88, 828,170.04 and 342,017.64

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Solution

The fourth proportional to 600,004.88, 828,170.04 and 342,017.64 is: 472,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,004.88 : 828,170.04 = 342,017.64 : x
  2. Step 2: Convert to fraction form
    600,004.88/828,170.04 = 342,017.64/x
  3. Step 3: Cross multiply
    600,004.88x = 828,170.04 × 342,017.64
  4. Step 4: Simplify right side
    600,004.88x = 283,248,762,599.51
  5. Step 5: Solve for x
    x = 283,248,762,599.51/600,004.88
  6. Step 6: Final answer
    x = 472,077.43

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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.