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Finding the Fourth Proportional to 713,300.02, 1,070,089.97 and 264,024.70

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Solution

The fourth proportional to 713,300.02, 1,070,089.97 and 264,024.70 is: 396,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,300.02 : 1,070,089.97 = 264,024.70 : x
  2. Step 2: Convert to fraction form
    713,300.02/1,070,089.97 = 264,024.70/x
  3. Step 3: Cross multiply
    713,300.02x = 1,070,089.97 × 264,024.70
  4. Step 4: Simplify right side
    713,300.02x = 282,530,183,302.26
  5. Step 5: Solve for x
    x = 282,530,183,302.26/713,300.02
  6. Step 6: Final answer
    x = 396,088.85

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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.