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Finding the Fourth Proportional to 597,569.91, 824,283.86 and 355,690.95

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Solution

The fourth proportional to 597,569.91, 824,283.86 and 355,690.95 is: 490,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,569.91 : 824,283.86 = 355,690.95 : x
  2. Step 2: Convert to fraction form
    597,569.91/824,283.86 = 355,690.95/x
  3. Step 3: Cross multiply
    597,569.91x = 824,283.86 × 355,690.95
  4. Step 4: Simplify right side
    597,569.91x = 293,190,307,454.61
  5. Step 5: Solve for x
    x = 293,190,307,454.61/597,569.91
  6. Step 6: Final answer
    x = 490,637.67

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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.