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Finding the Fourth Proportional to 289,807.30, 434,710.95 and 90,140.30

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Solution

The fourth proportional to 289,807.30, 434,710.95 and 90,140.30 is: 135,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,807.30 : 434,710.95 = 90,140.30 : x
  2. Step 2: Convert to fraction form
    289,807.30/434,710.95 = 90,140.30/x
  3. Step 3: Cross multiply
    289,807.30x = 434,710.95 × 90,140.30
  4. Step 4: Simplify right side
    289,807.30x = 39,184,975,446.29
  5. Step 5: Solve for x
    x = 39,184,975,446.29/289,807.30
  6. Step 6: Final answer
    x = 135,210.45

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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.