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Finding the Fourth Proportional to 257,698.39, 384,455.14 and 243,748.06

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Solution

The fourth proportional to 257,698.39, 384,455.14 and 243,748.06 is: 363,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,698.39 : 384,455.14 = 243,748.06 : x
  2. Step 2: Convert to fraction form
    257,698.39/384,455.14 = 243,748.06/x
  3. Step 3: Cross multiply
    257,698.39x = 384,455.14 × 243,748.06
  4. Step 4: Simplify right side
    257,698.39x = 93,710,194,899.73
  5. Step 5: Solve for x
    x = 93,710,194,899.73/257,698.39
  6. Step 6: Final answer
    x = 363,642.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.