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Finding the Fourth Proportional to 525,005.40, 788,285.70 and 406,810.20

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Solution

The fourth proportional to 525,005.40, 788,285.70 and 406,810.20 is: 610,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,005.40 : 788,285.70 = 406,810.20 : x
  2. Step 2: Convert to fraction form
    525,005.40/788,285.70 = 406,810.20/x
  3. Step 3: Cross multiply
    525,005.40x = 788,285.70 × 406,810.20
  4. Step 4: Simplify right side
    525,005.40x = 320,682,663,274.14
  5. Step 5: Solve for x
    x = 320,682,663,274.14/525,005.40
  6. Step 6: Final answer
    x = 610,817.84

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1.5x scale

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.