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Finding the Fourth Proportional to 978,114.60, 1,467,244.80 and 346,946.40

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Solution

The fourth proportional to 978,114.60, 1,467,244.80 and 346,946.40 is: 520,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,114.60 : 1,467,244.80 = 346,946.40 : x
  2. Step 2: Convert to fraction form
    978,114.60/1,467,244.80 = 346,946.40/x
  3. Step 3: Cross multiply
    978,114.60x = 1,467,244.80 × 346,946.40
  4. Step 4: Simplify right side
    978,114.60x = 509,055,301,278.72
  5. Step 5: Solve for x
    x = 509,055,301,278.72/978,114.60
  6. Step 6: Final answer
    x = 520,445.46

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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.