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Finding the Fourth Proportional to 405,065.80, 607,598.70 and 138,828.93

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Solution

The fourth proportional to 405,065.80, 607,598.70 and 138,828.93 is: 208,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,065.80 : 607,598.70 = 138,828.93 : x
  2. Step 2: Convert to fraction form
    405,065.80/607,598.70 = 138,828.93/x
  3. Step 3: Cross multiply
    405,065.80x = 607,598.70 × 138,828.93
  4. Step 4: Simplify right side
    405,065.80x = 84,352,277,390.39
  5. Step 5: Solve for x
    x = 84,352,277,390.39/405,065.80
  6. Step 6: Final answer
    x = 208,243.40

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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.