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Finding the Fourth Proportional to 476,102.16, 714,339.10 and 209,675.44

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Solution

The fourth proportional to 476,102.16, 714,339.10 and 209,675.44 is: 314,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,102.16 : 714,339.10 = 209,675.44 : x
  2. Step 2: Convert to fraction form
    476,102.16/714,339.10 = 209,675.44/x
  3. Step 3: Cross multiply
    476,102.16x = 714,339.10 × 209,675.44
  4. Step 4: Simplify right side
    476,102.16x = 149,779,365,101.70
  5. Step 5: Solve for x
    x = 149,779,365,101.70/476,102.16
  6. Step 6: Final answer
    x = 314,595.01

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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.