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Finding the Fourth Proportional to 584,574.24, 806,712 and 316,302.24

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Solution

The fourth proportional to 584,574.24, 806,712 and 316,302.24 is: 436,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,574.24 : 806,712 = 316,302.24 : x
  2. Step 2: Convert to fraction form
    584,574.24/806,712 = 316,302.24/x
  3. Step 3: Cross multiply
    584,574.24x = 806,712 × 316,302.24
  4. Step 4: Simplify right side
    584,574.24x = 255,164,812,634.88
  5. Step 5: Solve for x
    x = 255,164,812,634.88/584,574.24
  6. Step 6: Final answer
    x = 436,496.85

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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.