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Finding the Fourth Proportional to 476,804.16, 714,541.22 and 358,336.80

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Solution

The fourth proportional to 476,804.16, 714,541.22 and 358,336.80 is: 537,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,804.16 : 714,541.22 = 358,336.80 : x
  2. Step 2: Convert to fraction form
    476,804.16/714,541.22 = 358,336.80/x
  3. Step 3: Cross multiply
    476,804.16x = 714,541.22 × 358,336.80
  4. Step 4: Simplify right side
    476,804.16x = 256,046,414,242.90
  5. Step 5: Solve for x
    x = 256,046,414,242.90/476,804.16
  6. Step 6: Final answer
    x = 537,005.41

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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.