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Finding the Fourth Proportional to 465,145.54, 697,275.44 and 149,381.02

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Solution

The fourth proportional to 465,145.54, 697,275.44 and 149,381.02 is: 223,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,145.54 : 697,275.44 = 149,381.02 : x
  2. Step 2: Convert to fraction form
    465,145.54/697,275.44 = 149,381.02/x
  3. Step 3: Cross multiply
    465,145.54x = 697,275.44 × 149,381.02
  4. Step 4: Simplify right side
    465,145.54x = 104,159,714,051.11
  5. Step 5: Solve for x
    x = 104,159,714,051.11/465,145.54
  6. Step 6: Final answer
    x = 223,929.30

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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.