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Finding the Fourth Proportional to 524,284.09, 723,505.16 and 294,841.31

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Solution

The fourth proportional to 524,284.09, 723,505.16 and 294,841.31 is: 406,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,284.09 : 723,505.16 = 294,841.31 : x
  2. Step 2: Convert to fraction form
    524,284.09/723,505.16 = 294,841.31/x
  3. Step 3: Cross multiply
    524,284.09x = 723,505.16 × 294,841.31
  4. Step 4: Simplify right side
    524,284.09x = 213,319,206,285.74
  5. Step 5: Solve for x
    x = 213,319,206,285.74/524,284.09
  6. Step 6: Final answer
    x = 406,877.13

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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.