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Finding the Fourth Proportional to 470,710.66, 705,895.10 and 257,636.02

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Solution

The fourth proportional to 470,710.66, 705,895.10 and 257,636.02 is: 386,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,710.66 : 705,895.10 = 257,636.02 : x
  2. Step 2: Convert to fraction form
    470,710.66/705,895.10 = 257,636.02/x
  3. Step 3: Cross multiply
    470,710.66x = 705,895.10 × 257,636.02
  4. Step 4: Simplify right side
    470,710.66x = 181,864,004,101.50
  5. Step 5: Solve for x
    x = 181,864,004,101.50/470,710.66
  6. Step 6: Final answer
    x = 386,360.50

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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.