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Finding the Fourth Proportional to 713,492.52, 1,069,484.64 and 263,924.68

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Solution

The fourth proportional to 713,492.52, 1,069,484.64 and 263,924.68 is: 395,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,492.52 : 1,069,484.64 = 263,924.68 : x
  2. Step 2: Convert to fraction form
    713,492.52/1,069,484.64 = 263,924.68/x
  3. Step 3: Cross multiply
    713,492.52x = 1,069,484.64 × 263,924.68
  4. Step 4: Simplify right side
    713,492.52x = 282,263,391,376.92
  5. Step 5: Solve for x
    x = 282,263,391,376.92/713,492.52
  6. Step 6: Final answer
    x = 395,608.06

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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.