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Finding the Fourth Proportional to 589,190, 813,108.84 and 347,482.76

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Solution

The fourth proportional to 589,190, 813,108.84 and 347,482.76 is: 479,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,190 : 813,108.84 = 347,482.76 : x
  2. Step 2: Convert to fraction form
    589,190/813,108.84 = 347,482.76/x
  3. Step 3: Cross multiply
    589,190x = 813,108.84 × 347,482.76
  4. Step 4: Simplify right side
    589,190x = 282,541,303,903.60
  5. Step 5: Solve for x
    x = 282,541,303,903.60/589,190
  6. Step 6: Final answer
    x = 479,541.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.