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Finding the Fourth Proportional to 465,703.60, 697,970.88 and 199,150.72

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Solution

The fourth proportional to 465,703.60, 697,970.88 and 199,150.72 is: 298,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,703.60 : 697,970.88 = 199,150.72 : x
  2. Step 2: Convert to fraction form
    465,703.60/697,970.88 = 199,150.72/x
  3. Step 3: Cross multiply
    465,703.60x = 697,970.88 × 199,150.72
  4. Step 4: Simplify right side
    465,703.60x = 139,001,403,291.03
  5. Step 5: Solve for x
    x = 139,001,403,291.03/465,703.60
  6. Step 6: Final answer
    x = 298,476.12

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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.