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Finding the Fourth Proportional to 584,584, 806,726.64 and 316,312

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Solution

The fourth proportional to 584,584, 806,726.64 and 316,312 is: 436,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,584 : 806,726.64 = 316,312 : x
  2. Step 2: Convert to fraction form
    584,584/806,726.64 = 316,312/x
  3. Step 3: Cross multiply
    584,584x = 806,726.64 × 316,312
  4. Step 4: Simplify right side
    584,584x = 255,177,316,951.68
  5. Step 5: Solve for x
    x = 255,177,316,951.68/584,584
  6. Step 6: Final answer
    x = 436,510.95

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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.