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Finding the Fourth Proportional to 596,461.83, 822,846.11 and 354,607.17

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Solution

The fourth proportional to 596,461.83, 822,846.11 and 354,607.17 is: 489,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,461.83 : 822,846.11 = 354,607.17 : x
  2. Step 2: Convert to fraction form
    596,461.83/822,846.11 = 354,607.17/x
  3. Step 3: Cross multiply
    596,461.83x = 822,846.11 × 354,607.17
  4. Step 4: Simplify right side
    596,461.83x = 291,787,128,639.57
  5. Step 5: Solve for x
    x = 291,787,128,639.57/596,461.83
  6. Step 6: Final answer
    x = 489,196.65

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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.