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Finding the Fourth Proportional to 405,140.08, 607,710.40 and 105,619.90

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Solution

The fourth proportional to 405,140.08, 607,710.40 and 105,619.90 is: 158,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,140.08 : 607,710.40 = 105,619.90 : x
  2. Step 2: Convert to fraction form
    405,140.08/607,710.40 = 105,619.90/x
  3. Step 3: Cross multiply
    405,140.08x = 607,710.40 × 105,619.90
  4. Step 4: Simplify right side
    405,140.08x = 64,186,311,676.96
  5. Step 5: Solve for x
    x = 64,186,311,676.96/405,140.08
  6. Step 6: Final answer
    x = 158,429.92

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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.