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Finding the Fourth Proportional to 314,827.80, 472,241.70 and 302,580.60

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Solution

The fourth proportional to 314,827.80, 472,241.70 and 302,580.60 is: 453,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,827.80 : 472,241.70 = 302,580.60 : x
  2. Step 2: Convert to fraction form
    314,827.80/472,241.70 = 302,580.60/x
  3. Step 3: Cross multiply
    314,827.80x = 472,241.70 × 302,580.60
  4. Step 4: Simplify right side
    314,827.80x = 142,891,176,931.02
  5. Step 5: Solve for x
    x = 142,891,176,931.02/314,827.80
  6. Step 6: Final answer
    x = 453,870.90

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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.