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Finding the Fourth Proportional to 403,981.76, 557,429.64 and 242,798.24

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Solution

The fourth proportional to 403,981.76, 557,429.64 and 242,798.24 is: 335,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,981.76 : 557,429.64 = 242,798.24 : x
  2. Step 2: Convert to fraction form
    403,981.76/557,429.64 = 242,798.24/x
  3. Step 3: Cross multiply
    403,981.76x = 557,429.64 × 242,798.24
  4. Step 4: Simplify right side
    403,981.76x = 135,342,935,515.83
  5. Step 5: Solve for x
    x = 135,342,935,515.83/403,981.76
  6. Step 6: Final answer
    x = 335,022.39

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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.