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Finding the Fourth Proportional to 473,037.30, 708,389.55 and 314,406.90

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Solution

The fourth proportional to 473,037.30, 708,389.55 and 314,406.90 is: 470,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,037.30 : 708,389.55 = 314,406.90 : x
  2. Step 2: Convert to fraction form
    473,037.30/708,389.55 = 314,406.90/x
  3. Step 3: Cross multiply
    473,037.30x = 708,389.55 × 314,406.90
  4. Step 4: Simplify right side
    473,037.30x = 222,722,562,407.90
  5. Step 5: Solve for x
    x = 222,722,562,407.90/473,037.30
  6. Step 6: Final answer
    x = 470,835.10

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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.