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Finding the Fourth Proportional to 406,054.98, 609,114.06 and 169,465.32

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Solution

The fourth proportional to 406,054.98, 609,114.06 and 169,465.32 is: 254,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,054.98 : 609,114.06 = 169,465.32 : x
  2. Step 2: Convert to fraction form
    406,054.98/609,114.06 = 169,465.32/x
  3. Step 3: Cross multiply
    406,054.98x = 609,114.06 × 169,465.32
  4. Step 4: Simplify right side
    406,054.98x = 103,223,709,094.40
  5. Step 5: Solve for x
    x = 103,223,709,094.40/406,054.98
  6. Step 6: Final answer
    x = 254,211.16

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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.