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Finding the Fourth Proportional to 349,461.40, 523,423.74 and 288,802.40

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Solution

The fourth proportional to 349,461.40, 523,423.74 and 288,802.40 is: 432,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,461.40 : 523,423.74 = 288,802.40 : x
  2. Step 2: Convert to fraction form
    349,461.40/523,423.74 = 288,802.40/x
  3. Step 3: Cross multiply
    349,461.40x = 523,423.74 × 288,802.40
  4. Step 4: Simplify right side
    349,461.40x = 151,166,032,328.98
  5. Step 5: Solve for x
    x = 151,166,032,328.98/349,461.40
  6. Step 6: Final answer
    x = 432,568.61

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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.