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Finding the Fourth Proportional to 405,802.64, 560,187.02 and 242,516.77

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Solution

The fourth proportional to 405,802.64, 560,187.02 and 242,516.77 is: 334,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,802.64 : 560,187.02 = 242,516.77 : x
  2. Step 2: Convert to fraction form
    405,802.64/560,187.02 = 242,516.77/x
  3. Step 3: Cross multiply
    405,802.64x = 560,187.02 × 242,516.77
  4. Step 4: Simplify right side
    405,802.64x = 135,854,746,686.33
  5. Step 5: Solve for x
    x = 135,854,746,686.33/405,802.64
  6. Step 6: Final answer
    x = 334,780.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.