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Finding the Fourth Proportional to 333,509.81, 460,242.96 and 180,547.94

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Solution

The fourth proportional to 333,509.81, 460,242.96 and 180,547.94 is: 249,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509.81 : 460,242.96 = 180,547.94 : x
  2. Step 2: Convert to fraction form
    333,509.81/460,242.96 = 180,547.94/x
  3. Step 3: Cross multiply
    333,509.81x = 460,242.96 × 180,547.94
  4. Step 4: Simplify right side
    333,509.81x = 83,095,917,227.77
  5. Step 5: Solve for x
    x = 83,095,917,227.77/333,509.81
  6. Step 6: Final answer
    x = 249,155.84

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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.