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Finding the Fourth Proportional to 314,359.04, 433,970.88 and 214,281.92

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Solution

The fourth proportional to 314,359.04, 433,970.88 and 214,281.92 is: 295,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.04 : 433,970.88 = 214,281.92 : x
  2. Step 2: Convert to fraction form
    314,359.04/433,970.88 = 214,281.92/x
  3. Step 3: Cross multiply
    314,359.04x = 433,970.88 × 214,281.92
  4. Step 4: Simplify right side
    314,359.04x = 92,992,113,390.49
  5. Step 5: Solve for x
    x = 92,992,113,390.49/314,359.04
  6. Step 6: Final answer
    x = 295,814.98

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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.