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Finding the Fourth Proportional to 596,200.05, 822,970.04 and 354,482.01

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Solution

The fourth proportional to 596,200.05, 822,970.04 and 354,482.01 is: 489,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,200.05 : 822,970.04 = 354,482.01 : x
  2. Step 2: Convert to fraction form
    596,200.05/822,970.04 = 354,482.01/x
  3. Step 3: Cross multiply
    596,200.05x = 822,970.04 × 354,482.01
  4. Step 4: Simplify right side
    596,200.05x = 291,728,072,176.57
  5. Step 5: Solve for x
    x = 291,728,072,176.57/596,200.05
  6. Step 6: Final answer
    x = 489,312.39

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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.