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Finding the Fourth Proportional to 650,130.40, 973,294.80 and 463,506.40

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Solution

The fourth proportional to 650,130.40, 973,294.80 and 463,506.40 is: 693,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,130.40 : 973,294.80 = 463,506.40 : x
  2. Step 2: Convert to fraction form
    650,130.40/973,294.80 = 463,506.40/x
  3. Step 3: Cross multiply
    650,130.40x = 973,294.80 × 463,506.40
  4. Step 4: Simplify right side
    650,130.40x = 451,128,368,886.72
  5. Step 5: Solve for x
    x = 451,128,368,886.72/650,130.40
  6. Step 6: Final answer
    x = 693,904.44

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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.