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Finding the Fourth Proportional to 333,509.23, 460,242.20 and 180,547.38

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Solution

The fourth proportional to 333,509.23, 460,242.20 and 180,547.38 is: 249,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509.23 : 460,242.20 = 180,547.38 : x
  2. Step 2: Convert to fraction form
    333,509.23/460,242.20 = 180,547.38/x
  3. Step 3: Cross multiply
    333,509.23x = 460,242.20 × 180,547.38
  4. Step 4: Simplify right side
    333,509.23x = 83,095,523,375.44
  5. Step 5: Solve for x
    x = 83,095,523,375.44/333,509.23
  6. Step 6: Final answer
    x = 249,155.09

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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.