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Finding the Fourth Proportional to 653,564.16, 980,477.46 and 298,482.84

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Solution

The fourth proportional to 653,564.16, 980,477.46 and 298,482.84 is: 447,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,564.16 : 980,477.46 = 298,482.84 : x
  2. Step 2: Convert to fraction form
    653,564.16/980,477.46 = 298,482.84/x
  3. Step 3: Cross multiply
    653,564.16x = 980,477.46 × 298,482.84
  4. Step 4: Simplify right side
    653,564.16x = 292,655,696,816.79
  5. Step 5: Solve for x
    x = 292,655,696,816.79/653,564.16
  6. Step 6: Final answer
    x = 447,784.19

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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.