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Finding the Fourth Proportional to 417,528, 576,184.80 and 226,547.52

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Solution

The fourth proportional to 417,528, 576,184.80 and 226,547.52 is: 312,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,528 : 576,184.80 = 226,547.52 : x
  2. Step 2: Convert to fraction form
    417,528/576,184.80 = 226,547.52/x
  3. Step 3: Cross multiply
    417,528x = 576,184.80 × 226,547.52
  4. Step 4: Simplify right side
    417,528x = 130,533,237,501.70
  5. Step 5: Solve for x
    x = 130,533,237,501.70/417,528
  6. Step 6: Final answer
    x = 312,633.49

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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.