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Finding the Fourth Proportional to 407,038.68, 561,225.24 and 263,746.44

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Solution

The fourth proportional to 407,038.68, 561,225.24 and 263,746.44 is: 363,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,038.68 : 561,225.24 = 263,746.44 : x
  2. Step 2: Convert to fraction form
    407,038.68/561,225.24 = 263,746.44/x
  3. Step 3: Cross multiply
    407,038.68x = 561,225.24 × 263,746.44
  4. Step 4: Simplify right side
    407,038.68x = 148,021,159,088.15
  5. Step 5: Solve for x
    x = 148,021,159,088.15/407,038.68
  6. Step 6: Final answer
    x = 363,653.79

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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.