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Finding the Fourth Proportional to 456,744.04, 684,328.54 and 302,775.64

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Solution

The fourth proportional to 456,744.04, 684,328.54 and 302,775.64 is: 453,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,744.04 : 684,328.54 = 302,775.64 : x
  2. Step 2: Convert to fraction form
    456,744.04/684,328.54 = 302,775.64/x
  3. Step 3: Cross multiply
    456,744.04x = 684,328.54 × 302,775.64
  4. Step 4: Simplify right side
    456,744.04x = 207,198,011,668.77
  5. Step 5: Solve for x
    x = 207,198,011,668.77/456,744.04
  6. Step 6: Final answer
    x = 453,641.41

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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.