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Finding the Fourth Proportional to 524,641.04, 785,332.53 and 284,157.65

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Solution

The fourth proportional to 524,641.04, 785,332.53 and 284,157.65 is: 425,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,641.04 : 785,332.53 = 284,157.65 : x
  2. Step 2: Convert to fraction form
    524,641.04/785,332.53 = 284,157.65/x
  3. Step 3: Cross multiply
    524,641.04x = 785,332.53 × 284,157.65
  4. Step 4: Simplify right side
    524,641.04x = 223,158,248,156.69
  5. Step 5: Solve for x
    x = 223,158,248,156.69/524,641.04
  6. Step 6: Final answer
    x = 425,354.16

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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.