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Finding the Fourth Proportional to 530,946.40, 796,419.60 and 156,969.40

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Solution

The fourth proportional to 530,946.40, 796,419.60 and 156,969.40 is: 235,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,946.40 : 796,419.60 = 156,969.40 : x
  2. Step 2: Convert to fraction form
    530,946.40/796,419.60 = 156,969.40/x
  3. Step 3: Cross multiply
    530,946.40x = 796,419.60 × 156,969.40
  4. Step 4: Simplify right side
    530,946.40x = 125,013,506,760.24
  5. Step 5: Solve for x
    x = 125,013,506,760.24/530,946.40
  6. Step 6: Final answer
    x = 235,454.10

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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.