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Finding the Fourth Proportional to 405,924.08, 560,176.32 and 224,648.51

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Solution

The fourth proportional to 405,924.08, 560,176.32 and 224,648.51 is: 310,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924.08 : 560,176.32 = 224,648.51 : x
  2. Step 2: Convert to fraction form
    405,924.08/560,176.32 = 224,648.51/x
  3. Step 3: Cross multiply
    405,924.08x = 560,176.32 × 224,648.51
  4. Step 4: Simplify right side
    405,924.08x = 125,842,774,925.06
  5. Step 5: Solve for x
    x = 125,842,774,925.06/405,924.08
  6. Step 6: Final answer
    x = 310,015.55

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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.