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Finding the Fourth Proportional to 509,582.16, 764,465.16 and 209,899.14

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Solution

The fourth proportional to 509,582.16, 764,465.16 and 209,899.14 is: 314,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,582.16 : 764,465.16 = 209,899.14 : x
  2. Step 2: Convert to fraction form
    509,582.16/764,465.16 = 209,899.14/x
  3. Step 3: Cross multiply
    509,582.16x = 764,465.16 × 209,899.14
  4. Step 4: Simplify right side
    509,582.16x = 160,460,579,643.96
  5. Step 5: Solve for x
    x = 160,460,579,643.96/509,582.16
  6. Step 6: Final answer
    x = 314,886.57

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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.