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Finding the Fourth Proportional to 1,298,508.80, 1,946,438.40 and 877,827.20

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Solution

The fourth proportional to 1,298,508.80, 1,946,438.40 and 877,827.20 is: 1,315,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,508.80 : 1,946,438.40 = 877,827.20 : x
  2. Step 2: Convert to fraction form
    1,298,508.80/1,946,438.40 = 877,827.20/x
  3. Step 3: Cross multiply
    1,298,508.80x = 1,946,438.40 × 877,827.20
  4. Step 4: Simplify right side
    1,298,508.80x = 1,708,636,570,644.48
  5. Step 5: Solve for x
    x = 1,708,636,570,644.48/1,298,508.80
  6. Step 6: Final answer
    x = 1,315,845.20

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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.