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Finding the Fourth Proportional to 286,284.40, 429,426.60 and 202,303.60

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Solution

The fourth proportional to 286,284.40, 429,426.60 and 202,303.60 is: 303,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,284.40 : 429,426.60 = 202,303.60 : x
  2. Step 2: Convert to fraction form
    286,284.40/429,426.60 = 202,303.60/x
  3. Step 3: Cross multiply
    286,284.40x = 429,426.60 × 202,303.60
  4. Step 4: Simplify right side
    286,284.40x = 86,874,547,115.76
  5. Step 5: Solve for x
    x = 86,874,547,115.76/286,284.40
  6. Step 6: Final answer
    x = 303,455.40

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1.5x scale

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.