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Finding the Fourth Proportional to 584,535, 806,658.33 and 316,263

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Solution

The fourth proportional to 584,535, 806,658.33 and 316,263 is: 436,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,535 : 806,658.33 = 316,263 : x
  2. Step 2: Convert to fraction form
    584,535/806,658.33 = 316,263/x
  3. Step 3: Cross multiply
    584,535x = 806,658.33 × 316,263
  4. Step 4: Simplify right side
    584,535x = 255,116,183,420.79
  5. Step 5: Solve for x
    x = 255,116,183,420.79/584,535
  6. Step 6: Final answer
    x = 436,442.96

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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.