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Finding the Fourth Proportional to 589,217.76, 813,126.06 and 334,574.28

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Solution

The fourth proportional to 589,217.76, 813,126.06 and 334,574.28 is: 461,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,217.76 : 813,126.06 = 334,574.28 : x
  2. Step 2: Convert to fraction form
    589,217.76/813,126.06 = 334,574.28/x
  3. Step 3: Cross multiply
    589,217.76x = 813,126.06 × 334,574.28
  4. Step 4: Simplify right side
    589,217.76x = 272,051,066,073.74
  5. Step 5: Solve for x
    x = 272,051,066,073.74/589,217.76
  6. Step 6: Final answer
    x = 461,715.66

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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.