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Finding the Fourth Proportional to 333,434.84, 460,140.02 and 180,472.98

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Solution

The fourth proportional to 333,434.84, 460,140.02 and 180,472.98 is: 249,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,434.84 : 460,140.02 = 180,472.98 : x
  2. Step 2: Convert to fraction form
    333,434.84/460,140.02 = 180,472.98/x
  3. Step 3: Cross multiply
    333,434.84x = 460,140.02 × 180,472.98
  4. Step 4: Simplify right side
    333,434.84x = 83,042,843,141.75
  5. Step 5: Solve for x
    x = 83,042,843,141.75/333,434.84
  6. Step 6: Final answer
    x = 249,052.69

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1.5x scale

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.