Home / 535,823.40-803,735.10-409,852.20

Finding the Fourth Proportional to 535,823.40, 803,735.10 and 409,852.20

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Solution

The fourth proportional to 535,823.40, 803,735.10 and 409,852.20 is: 614,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,823.40 : 803,735.10 = 409,852.20 : x
  2. Step 2: Convert to fraction form
    535,823.40/803,735.10 = 409,852.20/x
  3. Step 3: Cross multiply
    535,823.40x = 803,735.10 × 409,852.20
  4. Step 4: Simplify right side
    535,823.40x = 329,412,598,952.22
  5. Step 5: Solve for x
    x = 329,412,598,952.22/535,823.40
  6. Step 6: Final answer
    x = 614,778.30

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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.