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Finding the Fourth Proportional to 433,095.84, 649,482 and 148,705.68

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Solution

The fourth proportional to 433,095.84, 649,482 and 148,705.68 is: 223,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,095.84 : 649,482 = 148,705.68 : x
  2. Step 2: Convert to fraction form
    433,095.84/649,482 = 148,705.68/x
  3. Step 3: Cross multiply
    433,095.84x = 649,482 × 148,705.68
  4. Step 4: Simplify right side
    433,095.84x = 96,581,662,457.76
  5. Step 5: Solve for x
    x = 96,581,662,457.76/433,095.84
  6. Step 6: Final answer
    x = 223,002.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.