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Finding the Fourth Proportional to 476,442.60, 714,007.80 and 316,062.60

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Solution

The fourth proportional to 476,442.60, 714,007.80 and 316,062.60 is: 473,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,442.60 : 714,007.80 = 316,062.60 : x
  2. Step 2: Convert to fraction form
    476,442.60/714,007.80 = 316,062.60/x
  3. Step 3: Cross multiply
    476,442.60x = 714,007.80 × 316,062.60
  4. Step 4: Simplify right side
    476,442.60x = 225,671,161,688.28
  5. Step 5: Solve for x
    x = 225,671,161,688.28/476,442.60
  6. Step 6: Final answer
    x = 473,658.66

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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.