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Finding the Fourth Proportional to 382,167.72, 526,186.80 and 346,738.32

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Solution

The fourth proportional to 382,167.72, 526,186.80 and 346,738.32 is: 477,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,167.72 : 526,186.80 = 346,738.32 : x
  2. Step 2: Convert to fraction form
    382,167.72/526,186.80 = 346,738.32/x
  3. Step 3: Cross multiply
    382,167.72x = 526,186.80 × 346,738.32
  4. Step 4: Simplify right side
    382,167.72x = 182,449,127,038.18
  5. Step 5: Solve for x
    x = 182,449,127,038.18/382,167.72
  6. Step 6: Final answer
    x = 477,405.91

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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.