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Finding the Fourth Proportional to 323,931.51, 447,034.95 and 180,688.46

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Solution

The fourth proportional to 323,931.51, 447,034.95 and 180,688.46 is: 249,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,931.51 : 447,034.95 = 180,688.46 : x
  2. Step 2: Convert to fraction form
    323,931.51/447,034.95 = 180,688.46/x
  3. Step 3: Cross multiply
    323,931.51x = 447,034.95 × 180,688.46
  4. Step 4: Simplify right side
    323,931.51x = 80,774,054,446.50
  5. Step 5: Solve for x
    x = 80,774,054,446.50/323,931.51
  6. Step 6: Final answer
    x = 249,355.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.