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Finding the Fourth Proportional to 589,169.64, 813,059.58 and 334,526.28

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Solution

The fourth proportional to 589,169.64, 813,059.58 and 334,526.28 is: 461,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,169.64 : 813,059.58 = 334,526.28 : x
  2. Step 2: Convert to fraction form
    589,169.64/813,059.58 = 334,526.28/x
  3. Step 3: Cross multiply
    589,169.64x = 813,059.58 × 334,526.28
  4. Step 4: Simplify right side
    589,169.64x = 271,989,796,715.76
  5. Step 5: Solve for x
    x = 271,989,796,715.76/589,169.64
  6. Step 6: Final answer
    x = 461,649.38

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Double scale
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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.