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Finding the Fourth Proportional to 506,521.71, 759,235.82 and 329,156.01

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Solution

The fourth proportional to 506,521.71, 759,235.82 and 329,156.01 is: 493,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,521.71 : 759,235.82 = 329,156.01 : x
  2. Step 2: Convert to fraction form
    506,521.71/759,235.82 = 329,156.01/x
  3. Step 3: Cross multiply
    506,521.71x = 759,235.82 × 329,156.01
  4. Step 4: Simplify right side
    506,521.71x = 249,907,031,514.50
  5. Step 5: Solve for x
    x = 249,907,031,514.50/506,521.71
  6. Step 6: Final answer
    x = 493,378.72

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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.