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Finding the Fourth Proportional to 480,078.65, 720,225.23 and 180,561.82

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Solution

The fourth proportional to 480,078.65, 720,225.23 and 180,561.82 is: 270,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,078.65 : 720,225.23 = 180,561.82 : x
  2. Step 2: Convert to fraction form
    480,078.65/720,225.23 = 180,561.82/x
  3. Step 3: Cross multiply
    480,078.65x = 720,225.23 × 180,561.82
  4. Step 4: Simplify right side
    480,078.65x = 130,045,181,547.00
  5. Step 5: Solve for x
    x = 130,045,181,547.00/480,078.65
  6. Step 6: Final answer
    x = 270,883.08

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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.