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Finding the Fourth Proportional to 409,516.76, 611,071.47 and 366,963.51

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Solution

The fourth proportional to 409,516.76, 611,071.47 and 366,963.51 is: 547,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,516.76 : 611,071.47 = 366,963.51 : x
  2. Step 2: Convert to fraction form
    409,516.76/611,071.47 = 366,963.51/x
  3. Step 3: Cross multiply
    409,516.76x = 611,071.47 × 366,963.51
  4. Step 4: Simplify right side
    409,516.76x = 224,240,931,492.06
  5. Step 5: Solve for x
    x = 224,240,931,492.06/409,516.76
  6. Step 6: Final answer
    x = 547,574.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.