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Finding the Fourth Proportional to 535,810.34, 803,855.57 and 310,954.62

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Solution

The fourth proportional to 535,810.34, 803,855.57 and 310,954.62 is: 466,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,810.34 : 803,855.57 = 310,954.62 : x
  2. Step 2: Convert to fraction form
    535,810.34/803,855.57 = 310,954.62/x
  3. Step 3: Cross multiply
    535,810.34x = 803,855.57 × 310,954.62
  4. Step 4: Simplify right side
    535,810.34x = 249,962,599,284.96
  5. Step 5: Solve for x
    x = 249,962,599,284.96/535,810.34
  6. Step 6: Final answer
    x = 466,513.21

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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.