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Finding the Fourth Proportional to 602,435.32, 903,065.46 and 286,807.48

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Solution

The fourth proportional to 602,435.32, 903,065.46 and 286,807.48 is: 429,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,435.32 : 903,065.46 = 286,807.48 : x
  2. Step 2: Convert to fraction form
    602,435.32/903,065.46 = 286,807.48/x
  3. Step 3: Cross multiply
    602,435.32x = 903,065.46 × 286,807.48
  4. Step 4: Simplify right side
    602,435.32x = 259,005,928,857.64
  5. Step 5: Solve for x
    x = 259,005,928,857.64/602,435.32
  6. Step 6: Final answer
    x = 429,931.51

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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.