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Finding the Fourth Proportional to 369,714.12, 510,205.68 and 199,948.32

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Solution

The fourth proportional to 369,714.12, 510,205.68 and 199,948.32 is: 275,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,714.12 : 510,205.68 = 199,948.32 : x
  2. Step 2: Convert to fraction form
    369,714.12/510,205.68 = 199,948.32/x
  3. Step 3: Cross multiply
    369,714.12x = 510,205.68 × 199,948.32
  4. Step 4: Simplify right side
    369,714.12x = 102,014,768,570.46
  5. Step 5: Solve for x
    x = 102,014,768,570.46/369,714.12
  6. Step 6: Final answer
    x = 275,928.79

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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.