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Finding the Fourth Proportional to 664,032.76, 916,368.10 and 362,233.24

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Solution

The fourth proportional to 664,032.76, 916,368.10 and 362,233.24 is: 499,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,032.76 : 916,368.10 = 362,233.24 : x
  2. Step 2: Convert to fraction form
    664,032.76/916,368.10 = 362,233.24/x
  3. Step 3: Cross multiply
    664,032.76x = 916,368.10 × 362,233.24
  4. Step 4: Simplify right side
    664,032.76x = 331,938,985,895.64
  5. Step 5: Solve for x
    x = 331,938,985,895.64/664,032.76
  6. Step 6: Final answer
    x = 499,883.45

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1.5x scale

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.