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Finding the Fourth Proportional to 653,547.80, 901,631.46 and 411,403.16

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Solution

The fourth proportional to 653,547.80, 901,631.46 and 411,403.16 is: 567,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,547.80 : 901,631.46 = 411,403.16 : x
  2. Step 2: Convert to fraction form
    653,547.80/901,631.46 = 411,403.16/x
  3. Step 3: Cross multiply
    653,547.80x = 901,631.46 × 411,403.16
  4. Step 4: Simplify right side
    653,547.80x = 370,934,031,799.41
  5. Step 5: Solve for x
    x = 370,934,031,799.41/653,547.80
  6. Step 6: Final answer
    x = 567,569.86

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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.