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Finding the Fourth Proportional to 413,582.49, 619,932.63 and 235,706.49

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Solution

The fourth proportional to 413,582.49, 619,932.63 and 235,706.49 is: 353,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,582.49 : 619,932.63 = 235,706.49 : x
  2. Step 2: Convert to fraction form
    413,582.49/619,932.63 = 235,706.49/x
  3. Step 3: Cross multiply
    413,582.49x = 619,932.63 × 235,706.49
  4. Step 4: Simplify right side
    413,582.49x = 146,122,144,253.77
  5. Step 5: Solve for x
    x = 146,122,144,253.77/413,582.49
  6. Step 6: Final answer
    x = 353,308.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.