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Finding the Fourth Proportional to 473,779.32, 710,466.68 and 274,237.44

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Solution

The fourth proportional to 473,779.32, 710,466.68 and 274,237.44 is: 411,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,779.32 : 710,466.68 = 274,237.44 : x
  2. Step 2: Convert to fraction form
    473,779.32/710,466.68 = 274,237.44/x
  3. Step 3: Cross multiply
    473,779.32x = 710,466.68 × 274,237.44
  4. Step 4: Simplify right side
    473,779.32x = 194,836,563,528.50
  5. Step 5: Solve for x
    x = 194,836,563,528.50/473,779.32
  6. Step 6: Final answer
    x = 411,239.06

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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.