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Finding the Fourth Proportional to 457,038.40, 684,002.40 and 401,051.20

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Solution

The fourth proportional to 457,038.40, 684,002.40 and 401,051.20 is: 600,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,038.40 : 684,002.40 = 401,051.20 : x
  2. Step 2: Convert to fraction form
    457,038.40/684,002.40 = 401,051.20/x
  3. Step 3: Cross multiply
    457,038.40x = 684,002.40 × 401,051.20
  4. Step 4: Simplify right side
    457,038.40x = 274,319,983,322.88
  5. Step 5: Solve for x
    x = 274,319,983,322.88/457,038.40
  6. Step 6: Final answer
    x = 600,212.11

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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.