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Finding the Fourth Proportional to 535,415.32, 803,079.24 and 180,421.48

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Solution

The fourth proportional to 535,415.32, 803,079.24 and 180,421.48 is: 270,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,415.32 : 803,079.24 = 180,421.48 : x
  2. Step 2: Convert to fraction form
    535,415.32/803,079.24 = 180,421.48/x
  3. Step 3: Cross multiply
    535,415.32x = 803,079.24 × 180,421.48
  4. Step 4: Simplify right side
    535,415.32x = 144,892,745,038.08
  5. Step 5: Solve for x
    x = 144,892,745,038.08/535,415.32
  6. Step 6: Final answer
    x = 270,617.48

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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.