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Finding the Fourth Proportional to 476,443.60, 714,009.30 and 316,063.60

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Solution

The fourth proportional to 476,443.60, 714,009.30 and 316,063.60 is: 473,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,443.60 : 714,009.30 = 316,063.60 : x
  2. Step 2: Convert to fraction form
    476,443.60/714,009.30 = 316,063.60/x
  3. Step 3: Cross multiply
    476,443.60x = 714,009.30 × 316,063.60
  4. Step 4: Simplify right side
    476,443.60x = 225,672,349,791.48
  5. Step 5: Solve for x
    x = 225,672,349,791.48/476,443.60
  6. Step 6: Final answer
    x = 473,660.16

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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.