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Finding the Fourth Proportional to 535,810.84, 803,856.32 and 310,955.12

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Solution

The fourth proportional to 535,810.84, 803,856.32 and 310,955.12 is: 466,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,810.84 : 803,856.32 = 310,955.12 : x
  2. Step 2: Convert to fraction form
    535,810.84/803,856.32 = 310,955.12/x
  3. Step 3: Cross multiply
    535,810.84x = 803,856.32 × 310,955.12
  4. Step 4: Simplify right side
    535,810.84x = 249,963,234,429.08
  5. Step 5: Solve for x
    x = 249,963,234,429.08/535,810.84
  6. Step 6: Final answer
    x = 466,513.96

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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.