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Finding the Fourth Proportional to 531,149.94, 732,963.87 and 301,706.51

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Solution

The fourth proportional to 531,149.94, 732,963.87 and 301,706.51 is: 416,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,149.94 : 732,963.87 = 301,706.51 : x
  2. Step 2: Convert to fraction form
    531,149.94/732,963.87 = 301,706.51/x
  3. Step 3: Cross multiply
    531,149.94x = 732,963.87 × 301,706.51
  4. Step 4: Simplify right side
    531,149.94x = 221,139,967,508.97
  5. Step 5: Solve for x
    x = 221,139,967,508.97/531,149.94
  6. Step 6: Final answer
    x = 416,341.89

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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.