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Finding the Fourth Proportional to 367,482.08, 507,038.64 and 208,506.08

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Solution

The fourth proportional to 367,482.08, 507,038.64 and 208,506.08 is: 287,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,482.08 : 507,038.64 = 208,506.08 : x
  2. Step 2: Convert to fraction form
    367,482.08/507,038.64 = 208,506.08/x
  3. Step 3: Cross multiply
    367,482.08x = 507,038.64 × 208,506.08
  4. Step 4: Simplify right side
    367,482.08x = 105,720,639,234.93
  5. Step 5: Solve for x
    x = 105,720,639,234.93/367,482.08
  6. Step 6: Final answer
    x = 287,689.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.