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Finding the Fourth Proportional to 978,106.60, 1,467,232.80 and 346,938.40

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Solution

The fourth proportional to 978,106.60, 1,467,232.80 and 346,938.40 is: 520,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,106.60 : 1,467,232.80 = 346,938.40 : x
  2. Step 2: Convert to fraction form
    978,106.60/1,467,232.80 = 346,938.40/x
  3. Step 3: Cross multiply
    978,106.60x = 1,467,232.80 × 346,938.40
  4. Step 4: Simplify right side
    978,106.60x = 509,039,400,059.52
  5. Step 5: Solve for x
    x = 509,039,400,059.52/978,106.60
  6. Step 6: Final answer
    x = 520,433.46

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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.