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Finding the Fourth Proportional to 525,726.60, 788,417.10 and 193,259.40

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Solution

The fourth proportional to 525,726.60, 788,417.10 and 193,259.40 is: 289,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,726.60 : 788,417.10 = 193,259.40 : x
  2. Step 2: Convert to fraction form
    525,726.60/788,417.10 = 193,259.40/x
  3. Step 3: Cross multiply
    525,726.60x = 788,417.10 × 193,259.40
  4. Step 4: Simplify right side
    525,726.60x = 152,369,015,695.74
  5. Step 5: Solve for x
    x = 152,369,015,695.74/525,726.60
  6. Step 6: Final answer
    x = 289,825.58

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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.