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Finding the Fourth Proportional to 354,051.63, 530,699.13 and 140,523.93

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Solution

The fourth proportional to 354,051.63, 530,699.13 and 140,523.93 is: 210,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,051.63 : 530,699.13 = 140,523.93 : x
  2. Step 2: Convert to fraction form
    354,051.63/530,699.13 = 140,523.93/x
  3. Step 3: Cross multiply
    354,051.63x = 530,699.13 × 140,523.93
  4. Step 4: Simplify right side
    354,051.63x = 74,575,927,395.18
  5. Step 5: Solve for x
    x = 74,575,927,395.18/354,051.63
  6. Step 6: Final answer
    x = 210,635.74

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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.