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Finding the Fourth Proportional to 470,876.01, 701,878.20 and 433,084.65

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Solution

The fourth proportional to 470,876.01, 701,878.20 and 433,084.65 is: 645,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,876.01 : 701,878.20 = 433,084.65 : x
  2. Step 2: Convert to fraction form
    470,876.01/701,878.20 = 433,084.65/x
  3. Step 3: Cross multiply
    470,876.01x = 701,878.20 × 433,084.65
  4. Step 4: Simplify right side
    470,876.01x = 303,972,674,589.63
  5. Step 5: Solve for x
    x = 303,972,674,589.63/470,876.01
  6. Step 6: Final answer
    x = 645,547.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.