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Finding the Fourth Proportional to 535,547.64, 803,324.22 and 180,564.76

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Solution

The fourth proportional to 535,547.64, 803,324.22 and 180,564.76 is: 270,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,547.64 : 803,324.22 = 180,564.76 : x
  2. Step 2: Convert to fraction form
    535,547.64/803,324.22 = 180,564.76/x
  3. Step 3: Cross multiply
    535,547.64x = 803,324.22 × 180,564.76
  4. Step 4: Simplify right side
    535,547.64x = 145,052,044,986.49
  5. Step 5: Solve for x
    x = 145,052,044,986.49/535,547.64
  6. Step 6: Final answer
    x = 270,848.07

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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.