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Finding the Fourth Proportional to 313,709.60, 470,564.40 and 292,973.60

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Solution

The fourth proportional to 313,709.60, 470,564.40 and 292,973.60 is: 439,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,709.60 : 470,564.40 = 292,973.60 : x
  2. Step 2: Convert to fraction form
    313,709.60/470,564.40 = 292,973.60/x
  3. Step 3: Cross multiply
    313,709.60x = 470,564.40 × 292,973.60
  4. Step 4: Simplify right side
    313,709.60x = 137,862,946,299.84
  5. Step 5: Solve for x
    x = 137,862,946,299.84/313,709.60
  6. Step 6: Final answer
    x = 439,460.40

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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.