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Finding the Fourth Proportional to 384,078.98, 530,026.13 and 211,996.91

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Solution

The fourth proportional to 384,078.98, 530,026.13 and 211,996.91 is: 292,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,078.98 : 530,026.13 = 211,996.91 : x
  2. Step 2: Convert to fraction form
    384,078.98/530,026.13 = 211,996.91/x
  3. Step 3: Cross multiply
    384,078.98x = 530,026.13 × 211,996.91
  4. Step 4: Simplify right side
    384,078.98x = 112,363,901,779.26
  5. Step 5: Solve for x
    x = 112,363,901,779.26/384,078.98
  6. Step 6: Final answer
    x = 292,554.16

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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.