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Finding the Fourth Proportional to 525,806.40, 788,018.40 and 466,363.20

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Solution

The fourth proportional to 525,806.40, 788,018.40 and 466,363.20 is: 698,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,806.40 : 788,018.40 = 466,363.20 : x
  2. Step 2: Convert to fraction form
    525,806.40/788,018.40 = 466,363.20/x
  3. Step 3: Cross multiply
    525,806.40x = 788,018.40 × 466,363.20
  4. Step 4: Simplify right side
    525,806.40x = 367,502,782,682.88
  5. Step 5: Solve for x
    x = 367,502,782,682.88/525,806.40
  6. Step 6: Final answer
    x = 698,931.74

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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.