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Finding the Fourth Proportional to 406,157.08, 608,803.62 and 153,330.16

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Solution

The fourth proportional to 406,157.08, 608,803.62 and 153,330.16 is: 229,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,157.08 : 608,803.62 = 153,330.16 : x
  2. Step 2: Convert to fraction form
    406,157.08/608,803.62 = 153,330.16/x
  3. Step 3: Cross multiply
    406,157.08x = 608,803.62 × 153,330.16
  4. Step 4: Simplify right side
    406,157.08x = 93,347,956,463.18
  5. Step 5: Solve for x
    x = 93,347,956,463.18/406,157.08
  6. Step 6: Final answer
    x = 229,832.15

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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.