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Finding the Fourth Proportional to 432,065.40, 646,931.70 and 432,065.40

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Solution

The fourth proportional to 432,065.40, 646,931.70 and 432,065.40 is: 646,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,065.40 : 646,931.70 = 432,065.40 : x
  2. Step 2: Convert to fraction form
    432,065.40/646,931.70 = 432,065.40/x
  3. Step 3: Cross multiply
    432,065.40x = 646,931.70 × 432,065.40
  4. Step 4: Simplify right side
    432,065.40x = 279,516,803,733.18
  5. Step 5: Solve for x
    x = 279,516,803,733.18/432,065.40
  6. Step 6: Final answer
    x = 646,931.70

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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.