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Finding the Fourth Proportional to 406,765.90, 610,155.25 and 153,978.50

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Solution

The fourth proportional to 406,765.90, 610,155.25 and 153,978.50 is: 230,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,765.90 : 610,155.25 = 153,978.50 : x
  2. Step 2: Convert to fraction form
    406,765.90/610,155.25 = 153,978.50/x
  3. Step 3: Cross multiply
    406,765.90x = 610,155.25 × 153,978.50
  4. Step 4: Simplify right side
    406,765.90x = 93,950,791,302.57
  5. Step 5: Solve for x
    x = 93,950,791,302.57/406,765.90
  6. Step 6: Final answer
    x = 230,970.17

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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.