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Finding the Fourth Proportional to 473,866.16, 710,836.64 and 158,324.16

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Solution

The fourth proportional to 473,866.16, 710,836.64 and 158,324.16 is: 237,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,866.16 : 710,836.64 = 158,324.16 : x
  2. Step 2: Convert to fraction form
    473,866.16/710,836.64 = 158,324.16/x
  3. Step 3: Cross multiply
    473,866.16x = 710,836.64 × 158,324.16
  4. Step 4: Simplify right side
    473,866.16x = 112,542,613,925.22
  5. Step 5: Solve for x
    x = 112,542,613,925.22/473,866.16
  6. Step 6: Final answer
    x = 237,498.74

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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.