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Finding the Fourth Proportional to 406,807.50, 610,312.89 and 287,098.19

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Solution

The fourth proportional to 406,807.50, 610,312.89 and 287,098.19 is: 430,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,807.50 : 610,312.89 = 287,098.19 : x
  2. Step 2: Convert to fraction form
    406,807.50/610,312.89 = 287,098.19/x
  3. Step 3: Cross multiply
    406,807.50x = 610,312.89 × 287,098.19
  4. Step 4: Simplify right side
    406,807.50x = 175,219,726,366.40
  5. Step 5: Solve for x
    x = 175,219,726,366.40/406,807.50
  6. Step 6: Final answer
    x = 430,719.01

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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.