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Finding the Fourth Proportional to 464,666.00, 696,718.58 and 208,451.86

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Solution

The fourth proportional to 464,666.00, 696,718.58 and 208,451.86 is: 312,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,666.00 : 696,718.58 = 208,451.86 : x
  2. Step 2: Convert to fraction form
    464,666.00/696,718.58 = 208,451.86/x
  3. Step 3: Cross multiply
    464,666.00x = 696,718.58 × 208,451.86
  4. Step 4: Simplify right side
    464,666.00x = 145,232,281,113.50
  5. Step 5: Solve for x
    x = 145,232,281,113.50/464,666.00
  6. Step 6: Final answer
    x = 312,551.99

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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.