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Finding the Fourth Proportional to 584,541, 806,666.58 and 316,269

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Solution

The fourth proportional to 584,541, 806,666.58 and 316,269 is: 436,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,541 : 806,666.58 = 316,269 : x
  2. Step 2: Convert to fraction form
    584,541/806,666.58 = 316,269/x
  3. Step 3: Cross multiply
    584,541x = 806,666.58 × 316,269
  4. Step 4: Simplify right side
    584,541x = 255,123,632,590.02
  5. Step 5: Solve for x
    x = 255,123,632,590.02/584,541
  6. Step 6: Final answer
    x = 436,451.22

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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.