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Finding the Fourth Proportional to 466,697, 700,045.50 and 134,273

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Solution

The fourth proportional to 466,697, 700,045.50 and 134,273 is: 201,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,697 : 700,045.50 = 134,273 : x
  2. Step 2: Convert to fraction form
    466,697/700,045.50 = 134,273/x
  3. Step 3: Cross multiply
    466,697x = 700,045.50 × 134,273
  4. Step 4: Simplify right side
    466,697x = 93,997,209,421.50
  5. Step 5: Solve for x
    x = 93,997,209,421.50/466,697
  6. Step 6: Final answer
    x = 201,409.50

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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.