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Finding the Fourth Proportional to 413,963.79, 571,322.85 and 252,784.92

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Solution

The fourth proportional to 413,963.79, 571,322.85 and 252,784.92 is: 348,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,963.79 : 571,322.85 = 252,784.92 : x
  2. Step 2: Convert to fraction form
    413,963.79/571,322.85 = 252,784.92/x
  3. Step 3: Cross multiply
    413,963.79x = 571,322.85 × 252,784.92
  4. Step 4: Simplify right side
    413,963.79x = 144,421,800,931.42
  5. Step 5: Solve for x
    x = 144,421,800,931.42/413,963.79
  6. Step 6: Final answer
    x = 348,875.44

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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.