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Finding the Fourth Proportional to 377,209.01, 520,420.98 and 213,848.01

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Solution

The fourth proportional to 377,209.01, 520,420.98 and 213,848.01 is: 295,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,209.01 : 520,420.98 = 213,848.01 : x
  2. Step 2: Convert to fraction form
    377,209.01/520,420.98 = 213,848.01/x
  3. Step 3: Cross multiply
    377,209.01x = 520,420.98 × 213,848.01
  4. Step 4: Simplify right side
    377,209.01x = 111,290,991,737.18
  5. Step 5: Solve for x
    x = 111,290,991,737.18/377,209.01
  6. Step 6: Final answer
    x = 295,038.00

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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.