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Finding the Fourth Proportional to 375,716, 518,541.12 and 232,522.16

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Solution

The fourth proportional to 375,716, 518,541.12 and 232,522.16 is: 320,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,716 : 518,541.12 = 232,522.16 : x
  2. Step 2: Convert to fraction form
    375,716/518,541.12 = 232,522.16/x
  3. Step 3: Cross multiply
    375,716x = 518,541.12 × 232,522.16
  4. Step 4: Simplify right side
    375,716x = 120,572,301,271.22
  5. Step 5: Solve for x
    x = 120,572,301,271.22/375,716
  6. Step 6: Final answer
    x = 320,913.41

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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.