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Finding the Fourth Proportional to 689,985, 1,034,977.50 and 191,349

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Solution

The fourth proportional to 689,985, 1,034,977.50 and 191,349 is: 287,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,985 : 1,034,977.50 = 191,349 : x
  2. Step 2: Convert to fraction form
    689,985/1,034,977.50 = 191,349/x
  3. Step 3: Cross multiply
    689,985x = 1,034,977.50 × 191,349
  4. Step 4: Simplify right side
    689,985x = 198,041,909,647.50
  5. Step 5: Solve for x
    x = 198,041,909,647.50/689,985
  6. Step 6: Final answer
    x = 287,023.50

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1.5x scale

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.